Cole-Hopf quotient and exact solutions of the generalized Fitzhugh-Nagumo equations

被引：10

作者：

Chen, DY ^{[1
]}

Gu, Y ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1999年 / 19卷 / 01期

关键词：

Cole-Hopf quotient; reaction-diffusion equation; exact solution;

D O I：

10.1016/S0252-9602(17)30607-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several classes of solution (wavefronts, coalescence of two wavefronts, solutions 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, Pome of which are new solutions. The close relation of the generalized Fitzhugh-Nagumo equation and Emden equation are also found.

引用

页码：7 / 14

页数：8

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