双函数法及一类非线性发展方程的精确行波解

Double Functions Method and Exact Travelling Wave Solutions for a Type of Nonlinear Evolution Equation

给出一种求解非线性发展方程精确行波解的新方法 :双函数法 .使用此方法 ,获得了一类非线性发展方程的许多精确行波解 ,其中包括孤波解和周期解 .推广了文献用其它方法取得的结果 ,同时还获得了许多新的孤波解和周期解 .借助于Mathemati ca ,此方法能部分地在计算机上实现 .

Double functons method is proposed for constructing exact travelling wave solutions for nonlinear evolution equations.By means of the method,many kinds of exact travelling wave solutions for a type of nonlinear evolution equation are obtained,which contain soliton wave solutions and periodic solutions.The results obtained by papers of ,,,are extended.at the same time many new soliton wave solutions and periodic solutions are obtained.With the aid of Mathematica,the method can be carried out partly on computer.