摘要
通过齐次平衡原则,得到变系数耦合KdV方程组的一个自Backlund变换.通过自Backlund变换,利用ε-展式法可以完全的得到变速多重孤立波解.作为解释,我们得到了方程的二孤子解.
By using the homogeneous balance principle, an auto-Backlund transformation(BT) to a coupled KdV equations with general variable coefficients is derived. Based on the BT, the multi-soliton solutions with variable propagating speed to the equations can be completely obtained by using the ε-expansion method. As an illustrative example, we obtaind two-soliton solutions to the equations in detail.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2004年第3期1-4,共4页
Journal of Lanzhou University(Natural Sciences)
基金
Suported by the Doctoral Foundation of the Ministry of Education(20020730020)and the Natural Science Foundation of Henan Province.
关键词
变系数耦合Kdv方程组
齐次平衡原则
自Backlund变换
ε-展式法
变速孤立波解
二孤子解
coupled KdV equations with variable coefficients
homogeneous balance principle
auto-Backlund transformation
ε-expansion method
solitary wave solutions with variant propagating speeds
two-soliton solutions
