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Modified method of simplest equation and exact traveling wave solutions of a hyperbolic reaction-diffusion equation

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arxiv 1808.02398 v1 pith:JQEZFRMI submitted 2018-08-06 nlin.PS nlin.SI

I. P. Jordanov , Nikolay K. Vitanov This is my paper · ORCID
classification nlin.PSnlin.SI
keywords equationreaction-diffusionsimplestclassexacthyperbolicmethodmodified
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We discuss a class of hyperbolic reaction-diffusion equations and apply the modified method of simplest equation in order to obtain an exact solution of an equation of this class (namely the equation that contains polynomial nonlinearity of fourth order). We use the equation of Bernoulli as a simplest equation and obtain traveling wave solution of a kink kind for the studied nonlinear reaction-diffusion equation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations

    nlin.SI 2019-09 conditional novelty 3.0 of 10

    A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.

  2. Simple equations method (SEsM) and some of its numerous particular cases

    nlin.SI 2019-08 conditional novelty 2.0 of 10

    The Simple Equations Method is a broad ansatz framework, and several established solution methods are shown to be particular cases, but the result is nearly tautological.

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