Abstract

With the help of Mathematica, many travelling for a class of nonlinear evolution equations uu+ auxx+ bu + cu2+ du3 = 0 are obtained by using hyperbola function method and WU-elimination method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, Φ4 and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.

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