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Multi-wave solutions for a non-isospectral KDV-type equation with variable coefficients
Author(s) -
Sheng Zhang,
Qun Gao,
Qian-An Zong,
Dong Liu
Publication year - 2012
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1205476z
Subject(s) - korteweg–de vries equation , isospectral , ansatz , variable (mathematics) , type (biology) , variable coefficient , function (biology) , mathematics , mathematical analysis , physics , mathematical physics , nonlinear system , quantum mechanics , ecology , evolutionary biology , biology
As a typical mathematical model in fluids and plasmas, Korteweg-de Vries equation is famous. In this paper, the Exp-function method is extended to a nonisos-pectral Korteweg-de Vries type equation with three variable coefficients, and multi-wave solutions are obtained. It is shown that the Expfunction method combined with appropriate ansatz may provide with a straightforward, effective and alternative method for constructing multi-wave solutions of variable-coefficient non-linear evolution equations

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