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.
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.