On a certain class of a nonlinear evolution partial differential equations

An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2008-07, Vol.217 (1), p.148-156
Main Authors: Mesloub, S., Abdusalam, H.A.
Format: Article
Language:English
Subjects:
A priori estimate
Exact sciences and technology
Fisher equation
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
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
Reaction diffusion equation
Sciences and techniques of general use
Soliton solutions
tanh-Function method
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered partial differential equation. And new multiple soliton solutions are obtained.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2007.06.022