Exact analytical solutions for nonlinear reaction-diffusion equations

DOI10.1016/S0960-0779(02)00590-8zbMath1043.35042MaRDI QIDQ1433715

Chunping Liu

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

MathematicaKPP equationFitzhugh-Nagumo equationhyperbolic function solutionsBurger-Huxley equationtriangular function solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Solutions to PDEs in closed form (35C05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

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Kink wave determined by parabola solution of a nonlinear ordinary differential equation ⋮ Exact solutions for the higher-order nonlinear Schrödinger equation in nonlinear optical fibres ⋮ Lifting solutions of quasilinear convection-dominated problems

Uses Software

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Cites Work

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• Solitons. Mathematical methods for physicists
• The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations
• A simple transformation for nonlinear waves.
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

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