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University of Cincinnati

1.
Kramer, Eugene.
Nonhomogeneous Boundary Value Problems for the Korteweg-de
Vries *Equation* on a Bounded Domain.

Degree: PhD, Arts and Sciences : Mathematical Sciences, 2009, University of Cincinnati

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397

► The Korteweg-de Vries *equation* models unidirectional propagation of small finite amplitude long waves in a non-dispersive medium. The well-posedness, that is the existence, uniqueness of…
(more)

Subjects/Keywords: Mathematics; Partial Differential Equations; Korteweg-de Vries; KdV equation; well-posedness

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Kramer, E. (2009). Nonhomogeneous Boundary Value Problems for the Korteweg-de Vries Equation on a Bounded Domain. (Doctoral Dissertation). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397

Chicago Manual of Style (16^{th} Edition):

Kramer, Eugene. “Nonhomogeneous Boundary Value Problems for the Korteweg-de Vries Equation on a Bounded Domain.” 2009. Doctoral Dissertation, University of Cincinnati. Accessed April 08, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397.

MLA Handbook (7^{th} Edition):

Kramer, Eugene. “Nonhomogeneous Boundary Value Problems for the Korteweg-de Vries Equation on a Bounded Domain.” 2009. Web. 08 Apr 2020.

Vancouver:

Kramer E. Nonhomogeneous Boundary Value Problems for the Korteweg-de Vries Equation on a Bounded Domain. [Internet] [Doctoral dissertation]. University of Cincinnati; 2009. [cited 2020 Apr 08]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397.

Council of Science Editors:

Kramer E. Nonhomogeneous Boundary Value Problems for the Korteweg-de Vries Equation on a Bounded Domain. [Doctoral Dissertation]. University of Cincinnati; 2009. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397

University of Cincinnati

2.
Usman, Muhammad.
Forced Oscillations of the Korteweg-de Vries *Equation* and
Their Stability.

Degree: PhD, Arts and Sciences : Mathematical Sciences, 2007, University of Cincinnati

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186552805

► The *equation* of Korteweg and de Vries was derived as a model for propagation of surface water waves along the channel. This also approximates the…
(more)

Subjects/Keywords: Mathematics; Forced oscillation; stability; the BBM equation; the KdV equation; time-periodic solution

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APA (6^{th} Edition):

Usman, M. (2007). Forced Oscillations of the Korteweg-de Vries Equation and Their Stability. (Doctoral Dissertation). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186552805

Chicago Manual of Style (16^{th} Edition):

Usman, Muhammad. “Forced Oscillations of the Korteweg-de Vries Equation and Their Stability.” 2007. Doctoral Dissertation, University of Cincinnati. Accessed April 08, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186552805.

MLA Handbook (7^{th} Edition):

Usman, Muhammad. “Forced Oscillations of the Korteweg-de Vries Equation and Their Stability.” 2007. Web. 08 Apr 2020.

Vancouver:

Usman M. Forced Oscillations of the Korteweg-de Vries Equation and Their Stability. [Internet] [Doctoral dissertation]. University of Cincinnati; 2007. [cited 2020 Apr 08]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186552805.

Council of Science Editors:

Usman M. Forced Oscillations of the Korteweg-de Vries Equation and Their Stability. [Doctoral Dissertation]. University of Cincinnati; 2007. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186552805

NSYSU

3. Wu, Chung-lin. Simulation of nonlinear internal wave based on two-layer fluid model.

Degree: Master, IAMPUT, 2011, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0825111-170545

► The main topic of this research is the simulation of internal wave interaction by a two-dimensional numerical model developed by Lynett & Liu (2002) of…
(more)

Subjects/Keywords: eigenfunction; EOF(Empirical Orthogonal Functions); internal wave; KdV equation; two-layer fluid; continuously stratified

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APA (6^{th} Edition):

Wu, C. (2011). Simulation of nonlinear internal wave based on two-layer fluid model. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0825111-170545

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Wu, Chung-lin. “Simulation of nonlinear internal wave based on two-layer fluid model.” 2011. Thesis, NSYSU. Accessed April 08, 2020. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0825111-170545.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Wu, Chung-lin. “Simulation of nonlinear internal wave based on two-layer fluid model.” 2011. Web. 08 Apr 2020.

Vancouver:

Wu C. Simulation of nonlinear internal wave based on two-layer fluid model. [Internet] [Thesis]. NSYSU; 2011. [cited 2020 Apr 08]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0825111-170545.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wu C. Simulation of nonlinear internal wave based on two-layer fluid model. [Thesis]. NSYSU; 2011. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0825111-170545

Not specified: Masters Thesis or Doctoral Dissertation

East Carolina University

4. Olivo, James M. Improved Tsunami Modeling Via q-Advanced Special Functions.

Degree: 2013, East Carolina University

URL: http://hdl.handle.net/10342/1763

► This thesis studies q-advanced functions that are used as forcing terms in the forced wave *equation* and the Korteweg-de Vries *equation* in modeling tsunamis. The…
(more)

Subjects/Keywords: Mathematics; Physics; Geology; Forced wave equation; KdV; Multiplicatively advanced differentiable equations; Q-advanced models; Tsunamis; Wavelet; Tsunamis – Mathematical models

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APA (6^{th} Edition):

Olivo, J. M. (2013). Improved Tsunami Modeling Via q-Advanced Special Functions. (Thesis). East Carolina University. Retrieved from http://hdl.handle.net/10342/1763

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Olivo, James M. “Improved Tsunami Modeling Via q-Advanced Special Functions.” 2013. Thesis, East Carolina University. Accessed April 08, 2020. http://hdl.handle.net/10342/1763.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Olivo, James M. “Improved Tsunami Modeling Via q-Advanced Special Functions.” 2013. Web. 08 Apr 2020.

Vancouver:

Olivo JM. Improved Tsunami Modeling Via q-Advanced Special Functions. [Internet] [Thesis]. East Carolina University; 2013. [cited 2020 Apr 08]. Available from: http://hdl.handle.net/10342/1763.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Olivo JM. Improved Tsunami Modeling Via q-Advanced Special Functions. [Thesis]. East Carolina University; 2013. Available from: http://hdl.handle.net/10342/1763

Not specified: Masters Thesis or Doctoral Dissertation

5. Canıvar, Aynur. Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri A.B.D., 2011, Eskisehir Osmangazi University

URL: http://hdl.handle.net/11684/1698

► Bu tez çalışmasında, birçok fiziksel olayı modellemek için kullanılan bazı lineer olmayan kısmi türevli diferensiyel denklemlerin sayısal çözümlerinin elde edilmesi amaçlanmıştır. Bu amaç doğrultusunda, Adveksiyon-difüzyon,…
(more)

Subjects/Keywords: Adveksiyon-difüzyon denklemi; Spline; Sonlu elemanlar; Taylor-Galerkin; Taylor- Kollokasyon; Advection-diffusion Equation; Burger’s Equation; Finite element; KdV Equation; Taylor-Collocation; Taylor-Galerkin

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APA (6^{th} Edition):

Canıvar, A. (2011). Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/1698

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Canıvar, Aynur. “Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri .” 2011. Thesis, Eskisehir Osmangazi University. Accessed April 08, 2020. http://hdl.handle.net/11684/1698.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Canıvar, Aynur. “Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri .” 2011. Web. 08 Apr 2020.

Vancouver:

Canıvar A. Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri . [Internet] [Thesis]. Eskisehir Osmangazi University; 2011. [cited 2020 Apr 08]. Available from: http://hdl.handle.net/11684/1698.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Canıvar A. Lineer olmayan kısmi türevli diferensiyel denklemlerin taylor-kollokasyon ve taylor-galerkin yöntemleri ile sayısal çözümleri . [Thesis]. Eskisehir Osmangazi University; 2011. Available from: http://hdl.handle.net/11684/1698

Not specified: Masters Thesis or Doctoral Dissertation

University of Notre Dame

6.
Jennifer Gorsky.
On the Cauchy Problem for a *KdV*-Type *Equation* on the
Circle</h1>.

Degree: PhD, Mathematics, 2004, University of Notre Dame

URL: https://curate.nd.edu/show/0g354f1842q

► We shall consider the periodic Cauchy problem for a modified Camassa-Holm (mCH) *equation*. We begin by proving well-posedness in Bourgain spaces for sufficiently small…
(more)

Subjects/Keywords: KdV equation; Camassa-Holm equation; well-posedness; analyticity; Sobolev space; initial value problem

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APA (6^{th} Edition):

Gorsky, J. (2004). On the Cauchy Problem for a KdV-Type Equation on the Circle</h1>. (Doctoral Dissertation). University of Notre Dame. Retrieved from https://curate.nd.edu/show/0g354f1842q

Chicago Manual of Style (16^{th} Edition):

Gorsky, Jennifer. “On the Cauchy Problem for a KdV-Type Equation on the Circle</h1>.” 2004. Doctoral Dissertation, University of Notre Dame. Accessed April 08, 2020. https://curate.nd.edu/show/0g354f1842q.

MLA Handbook (7^{th} Edition):

Gorsky, Jennifer. “On the Cauchy Problem for a KdV-Type Equation on the Circle</h1>.” 2004. Web. 08 Apr 2020.

Vancouver:

Gorsky J. On the Cauchy Problem for a KdV-Type Equation on the Circle</h1>. [Internet] [Doctoral dissertation]. University of Notre Dame; 2004. [cited 2020 Apr 08]. Available from: https://curate.nd.edu/show/0g354f1842q.

Council of Science Editors:

Gorsky J. On the Cauchy Problem for a KdV-Type Equation on the Circle</h1>. [Doctoral Dissertation]. University of Notre Dame; 2004. Available from: https://curate.nd.edu/show/0g354f1842q

University of Vienna

7.
Grunert, Katrin.
Long-Time Asymptotics for the *KdV* * Equation*.

Degree: 2008, University of Vienna

URL: http://othes.univie.ac.at/1035/

Berechnung der Langzeit Asymptotik der Korteweg-de Vries Gleichung mit Hilfe von Riemann-Hilbert Problemen.

Application of the method of nonlinear steepest descent to compute the long-time asymptotics of the KdV equation for decaying initial data.

Subjects/Keywords: 31.46 Funktionalanalysis; 31.45 Partielle Differentialgleichungen; Riemann-Hilbert Problem / KdV Gleichung / Solitonen; Riemann-Hilbert Problem / KdV equation / solitons

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APA (6^{th} Edition):

Grunert, K. (2008). Long-Time Asymptotics for the KdV Equation. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/1035/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Grunert, Katrin. “Long-Time Asymptotics for the KdV Equation.” 2008. Thesis, University of Vienna. Accessed April 08, 2020. http://othes.univie.ac.at/1035/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Grunert, Katrin. “Long-Time Asymptotics for the KdV Equation.” 2008. Web. 08 Apr 2020.

Vancouver:

Grunert K. Long-Time Asymptotics for the KdV Equation. [Internet] [Thesis]. University of Vienna; 2008. [cited 2020 Apr 08]. Available from: http://othes.univie.ac.at/1035/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Grunert K. Long-Time Asymptotics for the KdV Equation. [Thesis]. University of Vienna; 2008. Available from: http://othes.univie.ac.at/1035/

Not specified: Masters Thesis or Doctoral Dissertation

Virginia Tech

8. Deng, Shengfu. A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves.

Degree: PhD, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/28254

► Three-dimensional gravity-capillary steady waves on water of finite-depth, which are uniformly translating in a horizontal propagation direction and periodic in a transverse direction, are considered.…
(more)

Subjects/Keywords: periodic orbits; three-dimensional solitary wave; center manifolds; homoclinic orbits; coupled SchrÃ¶dinger-KdV equations; KdV equation; normal form

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APA (6^{th} Edition):

Deng, S. (2008). A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28254

Chicago Manual of Style (16^{th} Edition):

Deng, Shengfu. “A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 08, 2020. http://hdl.handle.net/10919/28254.

MLA Handbook (7^{th} Edition):

Deng, Shengfu. “A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves.” 2008. Web. 08 Apr 2020.

Vancouver:

Deng S. A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2020 Apr 08]. Available from: http://hdl.handle.net/10919/28254.

Council of Science Editors:

Deng S. A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/28254

Brigham Young University

9. Tyler, Jonathan G. Analysis and Implementation of High-Order Compact Finite Difference Schemes.

Degree: MS, 2007, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2277&context=etd

► The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact…
(more)

Subjects/Keywords: finite difference; high-order; compact schemes; numerical approximation; filtering; wave equation; heat equation; Burgers' equation; KdV equation; convection; Mathematics

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APA (6^{th} Edition):

Tyler, J. G. (2007). Analysis and Implementation of High-Order Compact Finite Difference Schemes. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2277&context=etd

Chicago Manual of Style (16^{th} Edition):

Tyler, Jonathan G. “Analysis and Implementation of High-Order Compact Finite Difference Schemes.” 2007. Masters Thesis, Brigham Young University. Accessed April 08, 2020. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2277&context=etd.

MLA Handbook (7^{th} Edition):

Tyler, Jonathan G. “Analysis and Implementation of High-Order Compact Finite Difference Schemes.” 2007. Web. 08 Apr 2020.

Vancouver:

Tyler JG. Analysis and Implementation of High-Order Compact Finite Difference Schemes. [Internet] [Masters thesis]. Brigham Young University; 2007. [cited 2020 Apr 08]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2277&context=etd.

Council of Science Editors:

Tyler JG. Analysis and Implementation of High-Order Compact Finite Difference Schemes. [Masters Thesis]. Brigham Young University; 2007. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2277&context=etd

10.
Im, Jeong Sook.
Comparison of the Korteweg-de Vries (*KdV*) *equation* with the
Euler equations with irrotational initial conditions.

Degree: PhD, Mathematics, 2010, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399

► The standard mathematical model for the motion of surface waves in shallow water is the Euler equations for inviscid, incompressible flow, supplemented by free surface…
(more)

Subjects/Keywords: Mathematics; Shallow water waves; KdV equation; Euler equations; Approximation; Singularities

…Comparison of the Korteweg-de Vries (*KdV*) *equation* with
the Euler equations… …invoked to derive
weakly nonlinear models such as the Korteweg-de Vries (*KdV*) *equation*… …comparing them with the predictions from the *KdV* *equation* directly.
A highly accurate numerical… …for both the *KdV* *equation* and the boundary integral techniques
and the motion is calculated… …for a long time. Waves governed by the *KdV* *equation*
eventually approach a statistical…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Im, J. S. (2010). Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399

Chicago Manual of Style (16^{th} Edition):

Im, Jeong Sook. “Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions.” 2010. Doctoral Dissertation, The Ohio State University. Accessed April 08, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399.

MLA Handbook (7^{th} Edition):

Im, Jeong Sook. “Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions.” 2010. Web. 08 Apr 2020.

Vancouver:

Im JS. Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions. [Internet] [Doctoral dissertation]. The Ohio State University; 2010. [cited 2020 Apr 08]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399.

Council of Science Editors:

Im JS. Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions. [Doctoral Dissertation]. The Ohio State University; 2010. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399

11. Nabelek, Patrik Vaclav. Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations .

Degree: 2018, University of Arizona

URL: http://hdl.handle.net/10150/627724

► We generalize the 1+1 Kaup – Broer system to an integrable 2+1 dimensional system via the dressing method. This allows us to compute N – soliton solutions…
(more)

Subjects/Keywords: Integrable Systems; Kaup – Broer System; KdV Equation; Periodic Potentials; Solitons

…x28;1.1) means that q must solve the
Korteweg–de Vries (*KdV*) *equation*
qt = 6qqx… …verify that (1.5) is also the *KdV* *equation*.
It is known that the evolution of L under… …appeared as a generalization of the *KdV* *equation*
where the surface wave still primarily moves in… …*equation* applies
when the surface tension is negligible.
The above constructions for the *KdV* and… …*KdV* and KP *equation*, as well as to the Kaup–Broer system and a 2+1 dimensional…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nabelek, P. V. (2018). Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/627724

Chicago Manual of Style (16^{th} Edition):

Nabelek, Patrik Vaclav. “Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations .” 2018. Doctoral Dissertation, University of Arizona. Accessed April 08, 2020. http://hdl.handle.net/10150/627724.

MLA Handbook (7^{th} Edition):

Nabelek, Patrik Vaclav. “Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations .” 2018. Web. 08 Apr 2020.

Vancouver:

Nabelek PV. Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations . [Internet] [Doctoral dissertation]. University of Arizona; 2018. [cited 2020 Apr 08]. Available from: http://hdl.handle.net/10150/627724.

Council of Science Editors:

Nabelek PV. Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations . [Doctoral Dissertation]. University of Arizona; 2018. Available from: http://hdl.handle.net/10150/627724

University of South Florida

12. Grupcev, Vladimir. Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations.

Degree: 2007, University of South Florida

URL: https://scholarcommons.usf.edu/etd/3866

► In this thesis, first the tanh method, a method for obtaining exact traveling wave solutions to nonlinear differential equations, is introduced and described. Then the…
(more)

Subjects/Keywords: The tanh method; PDE; KdV; Solitary wave; Wave equation; American Studies; Arts and Humanities

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APA (6^{th} Edition):

Grupcev, V. (2007). Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/3866

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Grupcev, Vladimir. “Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations.” 2007. Thesis, University of South Florida. Accessed April 08, 2020. https://scholarcommons.usf.edu/etd/3866.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Grupcev, Vladimir. “Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations.” 2007. Web. 08 Apr 2020.

Vancouver:

Grupcev V. Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations. [Internet] [Thesis]. University of South Florida; 2007. [cited 2020 Apr 08]. Available from: https://scholarcommons.usf.edu/etd/3866.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Grupcev V. Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations. [Thesis]. University of South Florida; 2007. Available from: https://scholarcommons.usf.edu/etd/3866

Not specified: Masters Thesis or Doctoral Dissertation

13. Pirilla, Patrick Brian. On the Trajectories of Particles in Solitary Waves.

Degree: MSin Mathematics, Department of Mathematics and Statistics, 2011, Youngstown State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628

► Across the country, school students learn that ocean waves cause water particles to form looping paths, traveling in circles which become smaller as you…
(more)

Subjects/Keywords: Applied Mathematics; Fluid Dynamics; Mathematics; Physics; Solitons; Fluid dynamics; Water waves; Euler equation; KdV equation; Differential equations

…Introduction
2
1.1 The Euler Equations and the *KdV* *Equation*
Leonhard Euler’s equations of ﬂuid… …*equation*. [7]
The Korteweg–de Vries *equation*, usually referred to as the *KdV* *equation*… …from 1871. The
*KdV* *equation* is one of the simplest partial diﬀerential *equation* which… …produce new solutions. [10] We
examine one derivation of the *KdV* *equation* in Section 6… …such as the one observed by Russell can be described by the Korteweg–
de Vries *equation*. Such…

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APA (6^{th} Edition):

Pirilla, P. B. (2011). On the Trajectories of Particles in Solitary Waves. (Masters Thesis). Youngstown State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628

Chicago Manual of Style (16^{th} Edition):

Pirilla, Patrick Brian. “On the Trajectories of Particles in Solitary Waves.” 2011. Masters Thesis, Youngstown State University. Accessed April 08, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628.

MLA Handbook (7^{th} Edition):

Pirilla, Patrick Brian. “On the Trajectories of Particles in Solitary Waves.” 2011. Web. 08 Apr 2020.

Vancouver:

Pirilla PB. On the Trajectories of Particles in Solitary Waves. [Internet] [Masters thesis]. Youngstown State University; 2011. [cited 2020 Apr 08]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628.

Council of Science Editors:

Pirilla PB. On the Trajectories of Particles in Solitary Waves. [Masters Thesis]. Youngstown State University; 2011. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628

University of Southern California

14. Lin, Yuncheng. On the simulation of stratified turbulent flows.

Degree: PhD, Aerospace & Mechanical Engineering (Computational Fluid & Solid Mechanics), 2010, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/429818/rec/4551

► In the first part of this report, the effects of numerical dissipation presented in a turbulence Direct Numerical Simulation (DNS) code called SMPM is investigated…
(more)

Subjects/Keywords: internal solitary waves; turbulent boundary-layer flows; KdV equation; k-\omega model; SMPM; DNS; numerical dissipation; under-resolved simulations; Fourier filtering; Boussinesq approximation; Poisson equation; Legendre polynomial; penalty method; aliasing effect

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Lin, Y. (2010). On the simulation of stratified turbulent flows. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/429818/rec/4551

Chicago Manual of Style (16^{th} Edition):

Lin, Yuncheng. “On the simulation of stratified turbulent flows.” 2010. Doctoral Dissertation, University of Southern California. Accessed April 08, 2020. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/429818/rec/4551.

MLA Handbook (7^{th} Edition):

Lin, Yuncheng. “On the simulation of stratified turbulent flows.” 2010. Web. 08 Apr 2020.

Vancouver:

Lin Y. On the simulation of stratified turbulent flows. [Internet] [Doctoral dissertation]. University of Southern California; 2010. [cited 2020 Apr 08]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/429818/rec/4551.

Council of Science Editors:

Lin Y. On the simulation of stratified turbulent flows. [Doctoral Dissertation]. University of Southern California; 2010. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/429818/rec/4551

15. Βλάχου, Κυριακή. Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες.

Degree: 2002, University of Patras; Πανεπιστήμιο Πατρών

URL: http://hdl.handle.net/10442/hedi/26534

►

The semi-infinite Toda lattice is the system of differential equations an(t)= an(t),bn+1(t)-bn(t), bn(t)=2(an²(t)-an²-1(t), n=1 ,2,……, t>0. The solution of this system is a pair of… (more)

Subjects/Keywords: Ημιάπειρο πλέγμα toda; Μη φραγμένες αρχικές συνθήκες; ΣΥΝΕΧΗ ΚΛΑΣΜΑΤΑ; Σύνδεση πλέγματος toda με εξίσωση KDV; Πλέγμα langmuir; Ακριβείς λύσει πλέγματος toda; Λύσεις αντίστροφου φασματικού προβλήματος; Semi - infinite toda lattice; Unbounded initial conditions; Continued fractions; Connection of the toda lattice with the KDV equation; Langmuir lattice; Exact solutions of the toda lattice; Solutions of the inverse spectral problem

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Βλάχου, . . (2002). Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες. (Thesis). University of Patras; Πανεπιστήμιο Πατρών. Retrieved from http://hdl.handle.net/10442/hedi/26534

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Βλάχου, Κυριακή. “Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες.” 2002. Thesis, University of Patras; Πανεπιστήμιο Πατρών. Accessed April 08, 2020. http://hdl.handle.net/10442/hedi/26534.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Βλάχου, Κυριακή. “Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες.” 2002. Web. 08 Apr 2020.

Vancouver:

Βλάχου . Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες. [Internet] [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 2002. [cited 2020 Apr 08]. Available from: http://hdl.handle.net/10442/hedi/26534.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Βλάχου . Το πρόβλημα αρχικών τιμών στο ημιάπειρο πλέγμα toda με μη φραγμένες αρχικές συνθήκες. [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 2002. Available from: http://hdl.handle.net/10442/hedi/26534

Not specified: Masters Thesis or Doctoral Dissertation