摘要
With the help of Mathematica, many travelling for a class of nonlinear evolution equations u(u) + au(xx) + bu + cu(2) + du(3) = 0 are obtained by using hyperbola function method and WU-elimation method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, phi (4) and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.
With the help of Mathematica, many travelling for a class of nonlinear evolution equations u(u) + au(xx) + bu + cu(2) + du(3) = 0 are obtained by using hyperbola function method and WU-elimation method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, phi (4) and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.
基金
theNationalKeyBasicResearchDevelopmentProjectofChina( 1 9980 3 0 60 0 )
theNationalNaturalScienceFoundationofChina ( 1 0 0 72
