TRAVELLING WAVE SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS BY USING SYMBOLIC COMPUTATION  

作　　者：Fan Engui E mail:[e-mail].,FudanUniv.,Shanghai200433 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2001年第2期149-155,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the Postdoctoral Science Foundation of China;Chinese Basic Research Plan"MathematicsMechanization and A Platform

摘　　要：A Riccati equation involving a parameter and symbolic computation are used to uniformly construct the different forms of travelling wave solutions for nonlinear evolution equations.It is shown that the sign of the parameter can be applied in judging the existence of various forms of travelling wave solutions.An efficiency of this method is demonstrated on some equations,which include Burgers Huxley equation,Caudrey Dodd Gibbon Kawada equation,generalized Benjamin Bona Mahony equation and generalized Fisher equation.A Riccati equation involving a parameter and symbolic computation are used to uniformly construct the different forms of travelling wave solutions for nonlinear evolution equations.It is shown that the sign of the parameter can be applied in judging the existence of various forms of travelling wave solutions.An efficiency of this method is demonstrated on some equations,which include Burgers Huxley equation,Caudrey Dodd Gibbon Kawada equation,generalized Benjamin Bona Mahony equation and generalized Fisher equation.

关 键 词：Nonlinear evolution equation travelling wave solution symbolic computation. 

分 类 号：O175[理学—数学]