Auto-Bäcklund Transformations and Exact Solutions for Some Nonlinear Partial Differential Equations with Nonlinear Terms of Any Order

Author: Li Biao   Chen Yong   Zhang Hongqing  

Publisher: Springer Publishing Company

ISSN: 0011-4626

Source: Czechoslovak Journal of Physics, Vol.54, Iss.2, 2004-02, pp. : 167-176

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Abstract

In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Bäcklund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.