Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order

In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear...

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Bibliographic Details
Published inChinese physics B Vol. 20; no. 12; pp. 120202 - 1-120202-9
Main Authors Feng, Qing-Hua (青华冯), Meng, Fan-Wei (凡伟孟), Zhang, Yao-Ming (耀明张)
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Construction
Differential equations
Exact solutions
Integrals
Mathematical analysis
Nonlinear equations
Nonlinear evolution equations
Nonlinearity
Traveling waves
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Summary:In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method.
Bibliography:ObjectType-Article-1
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/20/12/120202