The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznet...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 893 - 902-287
Main Authors Zayed, Elsayed M. E., Alurrfi, K. A. E.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 2014
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Burgers equation
Differential equations, Nonlinear
Handling
Mathematical analysis
Mathematical research
Nonlinear evolution equations
Nonlinearity
Riccati equation
Traveling waves
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Summary:We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznetsov equation. This method presents wider applicability for handling many other nonlinear evolution equations in mathematical physics.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1085-3375
1687-0409
DOI:10.1155/2014/259190