关于构造数学物理中非线性发展方程组孤波解的一种新算法  

On a New Algorithm of Constructing Solitary Wave Solutions for Systems of Nonlinear Evolution Equations in mathematical Physics

作　　者：闫振亚[1] 张鸿庆[1] 

机构地区：[1]大连理工大学数学科学研究所,大连116024

出　　处：《应用数学和力学》2000年第4期342-347,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金!(19572022);国家攀登计划项目

摘　　要：根据改进的ｓｉｎｅ－ｃｏｓｉｎｅ法和吴文俊消元法，给出了一种构造非线性发展方程组孤波解的新算法．这种算法比已知的双曲函数法有更好的结论，并且在使用的过程中更简单．借助于ＭＡＴＨ－ＥＭＡＴＩＣＡ软件，这一算法能够在计算机上实现．According to the improved sine-cosine method and Wu-elimination method, a new algorithm to construct solitary wave solutions for systems of nonlinear evolution equations is put forward. The algorithm has some conclusions which are better than what the hyperbolic function method known does and is simpler in use. With the aid of MATHEMATICA, the algorithm can be carried out in computer.

关 键 词：非线性发展方程组 吴文俊消元 孤波解 数学物理 

分 类 号：O241.82[理学—计算数学] O411.1[理学—数学]