摘要
利用双线性导数方法求解KdV-mKdV混合方程,得到其单孤立子解、双孤立子解以及n孤立子解的解析表达式.运用数学软件对KdV-mKdV混合方程的非线性色散关系进行了分析,并通过波形图像展示了其单孤立子解、双孤立子解的相互作用过程.
The bilinear derivative method is used to solve the KdV-mKdV equation. The exact expressions of one-soliton, two-soliton and n-soliton solutions for the KdV-mKdV equation are obtained respectively. With the help of Mathematica, the nonlinear dispersion relation of KdV-mKdV equation is displayed. Moreover, some kinds of special processes of one-soliton and two-soliton are plotted respectively.
出处
《西北师范大学学报（自然科学版）》
CAS
2007年第5期31-34,共4页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10575082)
