含自相容源的可积系统

含自相容源的可积方程（SESCSs）是一类重要的非线性偏微分方程，研究其可积性和寻求其精确解都具有重要的数学意义，SESCSs描述的是不同孤波间的相互作用，又有重要的物理意义。这类方程也正丰富了Lax可积系统的内容。从可积意义上详细介绍了含自相容源的可积方程，与求解此类方程有关的构造含自相容源的可积方程的方法。给出Lax可积的概念，作为例子，给出了含自相容源的非等谱KdV方程族、含自相容源的非等谱AKNS方程族及其Lax表示。

Integrable System with Self-consistent Sources

The integrable equations with self-consistent sources is one kind of important nonlinear evolution equations. The studies of its integrable and solutions have important mathematics senses. It is used to describe interactions between different solitary waves and has important physical applications. We introduce the concept of Lax integrable and give the hierarchy of the non-isospectral KdV equation with self-consistent sources(KdVESCS )and the hierarchy of the non-isospectral AKNS equation with self-consiste...