Canonical-like transformation method and exact solutions to a class of diffusion equations

Cheng-shi Liu

Chaos, Solitons & Fractals, 2009, vol. 42, issue 1, 441-446

Abstract: A new method named canonical-like transformation method is proposed to find the exact solutions to nonlinear diffusion equations. By this method, the exact traveling wave solutions to a class of diffusion equations are obtained. As special cases, some exact solutions to Fisher equation, Burgers–KdV equation and Newell–Whitehead equation are given.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:1:p:441-446

DOI: 10.1016/j.chaos.2009.01.006

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