摘要
利用等谱问题的规范变换 ,为一对耦合的非线性演化方程建立了一个具有多个参数的N波达布变换。通过约化得到了WKI方程的达布变换 ,而且应用该达布变换获得了WKI方程的精确解。
An explicit N fold Darboux transformation with multiparameters for a kind of coupled nonlinear evolution equation is set up with the help of a gauge transformation of a spectral problem.As a reduction,a Darboux transformation of the WKI equation is obtained,furthemore,the exact solutions of WKI equation are given by applying its Darboux transformation.
出处
《山东科技大学学报（自然科学版）》
CAS
2003年第1期26-29,共4页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
达布变换
孤立子方程
精确解
Darboux transformation
soliton equation
exact solution
