摘要
本文得到了一个新的耦合 Mkdv 方程族和它的 Lax 对,利用位势和特征函数之间的约束关系,构造了一个 Liouville 完全可积系,使用可积系的对合解,求得了发展方程族解的表示。
In this paper,a new coupled Mkdv equation hierarchy and its Lax pairs are obtained.By means of the relation between potentials and eigenfunctions,a completely integrable system in the Liouville sense is worked out.Using the involutive solution of integrable systems,the solutions of the equation hierarchy are derived.
出处
《石家庄铁道学院学报》
1992年第3期18-25,共8页
Journal of Shijiazhuang Railway Institute
关键词
LAX对
完全可积系
对合解
Lax pair
the completely integrable system
the involutive solution
