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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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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.
作者 陈登远 谷元
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第1期7-14,共8页 数学物理学报(B辑英文版)
关键词 Cole-Hopf quotient reaction-diffusion equation exact solution Cole-Hopf quotient reaction-diffusion equation exact solution

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