一族4×4AKNS方程的对合解  

INVOLUTIV E SOLUTION FOR A HIERARCHY OF 4×4 AKNS EQUATION

作　　者：李梦如[1] 李雪梅[1] 

机构地区：[1]郑州大学系统科学和数学系

出　　处：《应用数学学报》1995年第4期595-600,共6页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金

摘　　要：本文获得了一族ＡＫＮＳ方程及其Ｌａｘ表示．用文献［２］和［３］的方法证明了可以从两个方面相容的常微分方程组的相容解构造出４×４ＡＫＮＳ非线性偏微分方程的解。A hierarchy of 4 × 4 AKNS equation and its Lax expression are obtained. It is proved by method of papers [1] and [2] that solution of every equation of 4 ×4 AKNS equation hierarchy, which is partial differential equation, is obtained from the solution of two nonlinear ordinary differential equations.

关 键 词：AKNS方程 辛流形 对合解 偏微分方程 非线性 

分 类 号：O175.29[理学—数学]