首页> 中文期刊> 《应用数学和力学:英文版》 >NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

         

摘要

With the help of Mathematica, many travelling for a class of nonlinear evolution equations u tt +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,  4 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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