摘要
提出一种统一的求解非线性演化方程孤波解的双曲函数法， 利用这用种方法求出了组合 Ｋｄ Ｖｍ Ｋｄ Ｖ 方程的两类孤波解． 作为特例， 可给出 ｍ Ｋｄ Ｖ 方程的两类孤波解， 而且还给出了 Ｋｄ Ｖ 方程的钟状孤波解．
A united hyperbolic function method of solving solitary wave solutions of nonlinear evolution equantions was first given, and then two kinds of solitary wave solutions of the combined \%K\%d\%V mK\%d\%V\% equation were obtained by this method.As special examples, two kinds of solitary wave solution of the \%mK\%d\%V\% equation can be obtained, and bell shaped solution of \%K\%d\%V\% equation was also given out.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第S1期141-144,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
广东工业大学科研基金
关键词
非线性演化方程
孤波解
双曲函数法
组合KDV-MKDV方程
nonlinear evolution equation
solitary wave solution
hyperbolic function method
combined \%K\%d\%V mK\%d\%V\% equation
