Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations

Research output

3 Citations (Scopus)

Abstract

In this paper, the simplest equation method is applied to obtain multiple explicit exact
solutions of the combined dispersion equation, the Hirota–Satsuma Korteweg–de Vries
system and the generalized Burgers–Huxley equation. These solutions are constructed on
the basis of solutions of Bernoulli equation which is used as simplest equation. It is shown
that this method is very powerful tool for obtaining exact solutions of a large class of nonlinear
partial differential equations. The geometric interpretation for some of these solutions
are introduced.
Original languageEnglish
Pages (from-to)243–252
Number of pages10
JournalApplied Mathematics and Computation
DOIs
Publication statusPublished - 2014

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