Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (1): 7-14.

• Articles • Previous Articles     Next Articles

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

 CHEN De-Yuan, GU Yuan   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 35C05
Trendmd