A simple method and its applications to nonlinear partial differential equations

In this paper, a simple method is proposed for constructing more general exact solutions of nonlinear partial differential equations. We choose the Camassa and Holm–Degasperis and Procesi equation and the generalized b family equations to illustrate the validity and advantages of the method. As a re...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-12, Vol.217 (8), p.4197-4204
Main Authors: Pan, Chao-hong, Liu, Zheng-rong, Zhang, Ben-gong
Format: Article
Language:English
Subjects:
b family equations
CH–DP equation
Computation
Construction
Exact sciences and technology
Exact solutions
Mathematical analysis
Mathematical models
Mathematics
Nonlinear differential equations
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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Summary:In this paper, a simple method is proposed for constructing more general exact solutions of nonlinear partial differential equations. We choose the Camassa and Holm–Degasperis and Procesi equation and the generalized b family equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained. Some previous results are extended.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.09.070