COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS

数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (1): 7-14.

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS

陈登远, 谷元

Department of Mathematics, Shanghai University, Shanghai 200072, China

收稿日期:1996-10-28 出版日期:1999-03-02 发布日期:1999-03-02
基金资助:
Project supported by the National Natural Science Foundation of China

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS

CHEN De-Yuan, GU Yuan

Department of Mathematics, Shanghai University, Shanghai 200072, China

Received:1996-10-28 Online:1999-03-02 Published:1999-03-02
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要：

Several classes of solution (wavefronts, coalescence of two wavefronts, solu-
tions with Jacobi elliptic function) of the Fitzhugh-Nagumo equation and the generalized
Fitzhugh-Nagumo equation are constructed by the Cole-Hopf quotient and the elementary
transformations, some of which are new solutions. The close relation of the generalized
Fitzhugh-Nagumo equation and Emden equation are also found.

关键词: Cole-Hopf quotient, reaction-diffusion equation, exact solution.

Abstract:

Key words: Cole-Hopf quotient, reaction-diffusion equation, exact solution.

中图分类号:

35C05

陈登远, 谷元.

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS[J]. 数学物理学报(英文版), 1999, 19(1): 7-14.

CHEN De-Yuan, GU Yuan.

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS[J]. Acta mathematica scientia,Series B, 1999, 19(1): 7-14.

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS

COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS

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