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
COLE-HOPF QUOTIENT AND EXACT SOLUTIONS OF THE GENERALIZED FITZHUGH-NAGUMO EQUATIONS
CHEN De-Yuan, GU Yuan
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.
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