A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations-Reference-Cited by-同舟云学术

A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Published:2013 Issue: Volume:2013 Page:1-11
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Kiliç Bülent¹^ORCID,Bulut Hasan¹^ORCID

Affiliation:

1. Department of Mathematics, Firat University, 23119 Elazig, Turkey

Abstract

A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which has more new solutions. More new solitary solutions are obtained for the RLW Burgers and Hirota Satsuma coupled equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2013/890784.pdf

Reference21 articles.

1. Travelling solitary wave solutions to a seventh-order generalized KdV equation

2. Travelling solitary wave solutions to a compound KdV-Burgers equation

3. Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation

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