BulDML at Institute of Mathematics and Informatics: On Modified Method of Simplest Equation for Obtaining Exact Solutions of Nonlinear PDEs: Case of Elliptic Simplest Equation

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BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Pliska Studia Mathematica Bulgarica >
2012 Volume 21 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2152

Title:	On Modified Method of Simplest Equation for Obtaining Exact Solutions of Nonlinear PDEs: Case of Elliptic Simplest Equation
Authors:	K. Vitanov, Nikolay
Keywords:	nonlinear partial differential equations method of simplest equation exact travelling-wave solutions elliptic equation
Issue Date:	2012
Publisher:	Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:	Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 257p-266p
Abstract:	The modified method of simplest equation is useful tool for obtaining exact and approximate solutions of nonlinear PDEs. These so- lutions are constructed on the basis of solutions of more simple equations called simplest equations. In this paper we study the role of the simplest equation for the application of the modified method of simplest equation. As simplest equation we discuss the elliptic equation.
Description:	2010 Mathematics Subject Classification: 74J30, 34L30.
URI:	http://hdl.handle.net/10525/2152
ISSN:	0204-9805
Appears in Collections:	2012 Volume 21

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