摘要
本文给出了一种求解非线性演化方程的新算法 .将这种算法运用于变形浅水波方程 ,获得了八组显式精确解 ,其中包括新的孤波解和周期解 .借助于 Mathematica软件 ,这种算法能够在 Computer上实现 .
In this paper, a new method is presented to find the solutions of nonlinear evolution equations. By using this method, eight sets of explicit exact solutions are obtained for variant shallow water wave equations. These solutions contain new solitary wave solutions and periodic solutions. With the aid of Mathematica, the method be carried out in computer.
出处
《工科数学》
2000年第2期40-43,共4页
Journal of Mathematics For Technology
基金
国家自然科学基金
博士点基金资助课题
关键词
变形浅水波方程
非线性演化方程
显式精确解
variant shallow water wave equations
exact solution
solitary wave solution
periodic solution
