Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants-Reference-Cited by-同舟云学术

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Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yu Xiuqing¹,Xu Fengsheng¹,Zhang Lihua¹

Affiliation:

1. Department of Mathematics Sciences, Dezhou University, Dezhou 253023, China

Abstract

The Riccati equation is employed to construct exact travelling wave solutions to the generalized Bretherton equation. Taking full advantage of the Riccati equation which has more new solutions, abundant new multiple solition-like solutions are obtained for the generalized Bretherton equation.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/284865.pdf

Reference22 articles.

1. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations

2. Extended tanh-function method and its applications to nonlinear equations

3. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

4. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

5. The periodic wave solutions for the Klein–Gordon–Schrödinger equations

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