Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations

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 method is applied to two classes of Nonlinear Partial Differential Equations. The first one is a system of two (1 + 1)-dimensional n...

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Main Author:	Grupcev, Vladimir
Format:	Others
Published:	Scholar Commons 2007
Subjects:	The tanh method PDE KdV Solitary wave Wave equation American Studies Arts and Humanities
Online Access:	http://scholarcommons.usf.edu/etd/3866 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=5062&context=etd

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spelling	ndltd-USF-oai-scholarcommons.usf.edu-etd-50622015-09-30T04:41:51Z Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations Grupcev, Vladimir 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 method is applied to two classes of Nonlinear Partial Differential Equations. The first one is a system of two (1 + 1)-dimensional nonlinear Korteweg-de Vries (KdV) type equations. The second one is a (3 + 1)-dimensional nonlinear wave equation. At the end, a few graphic representations of the obtained solitary wave solutions are provided, in correspondence to different values of the parameters used in the equations. 2007-04-10T07:00:00Z text application/pdf http://scholarcommons.usf.edu/etd/3866 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=5062&context=etd default Graduate Theses and Dissertations Scholar Commons The tanh method PDE KdV Solitary wave Wave equation American Studies Arts and Humanities
collection	NDLTD
format	Others
sources	NDLTD
topic	The tanh method PDE KdV Solitary wave Wave equation American Studies Arts and Humanities
spellingShingle	The tanh method PDE KdV Solitary wave Wave equation American Studies Arts and Humanities Grupcev, Vladimir Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
description	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 method is applied to two classes of Nonlinear Partial Differential Equations. The first one is a system of two (1 + 1)-dimensional nonlinear Korteweg-de Vries (KdV) type equations. The second one is a (3 + 1)-dimensional nonlinear wave equation. At the end, a few graphic representations of the obtained solitary wave solutions are provided, in correspondence to different values of the parameters used in the equations.
author	Grupcev, Vladimir
author_facet	Grupcev, Vladimir
author_sort	Grupcev, Vladimir
title	Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
title_short	Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
title_full	Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
title_fullStr	Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
title_full_unstemmed	Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations
title_sort	symbolic computations of exact solutions to nonlinear integrable di®erential equations
publisher	Scholar Commons
publishDate	2007
url	http://scholarcommons.usf.edu/etd/3866 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=5062&context=etd
work_keys_str_mv	AT grupcevvladimir symboliccomputationsofexactsolutionstononlinearintegrabledierentialequations
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Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations

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