带自容源的非等谱KdV方程的N-孤子解

N-Soliton Solution to Non-isospectral KdV Equation with Self-Consistent Sources

首先给出一个带自容源的非等谱KdV方程及其Lax对,然后利用Hirota方法求这一方程的N-孤子解,并对单孤子解的一些动力学特征进行了初步分析.

A non-isospectral KdV equation with self-consistent sources and its Lax pair are given. N-soliton solution is obtained with the Hirota method, and non-isospectral dynamics of the 1-soliton solution obtained are investigated.