改进的双函数法及一类非线性发展方程组的精确行波解

Improved double functions method and exact travelling wave solutions for a class of nonlinear evolution equations

使用改进的双函数法 ,获得了一类非线性发展方程组的多组精确行波解 ,其中包括孤波解和周期解 .推广了文献用齐次平衡法取得的结果 ,同时还获得了许多组新的孤波解和周期解 .借助于Mathematica软件 ,此方法能部分地在计算机上实现 .

By means of the improved double functions method, many kinds of exact travelling wave solutions for a class of nonlinear evolution equations are obtained, which contain soliton wave solutions and periodic solutions. The results obtained by the homogeneous balance method are extended, meantime, many kinds of new soliton wave solutions and periodic solutions are obtained. With the aid of Mathematics, the method can be partly carried out on computer.