一族孤子方程对应的C·Neumann系统  

C. Neumann System Associated With a Hierarchy of Soliton Equations

作　　者：王金科[1] 史大[1] 

机构地区：[1]河南省滑县师范学校

出　　处：《辽宁大学学报（自然科学版）》1993年第2期26-31,共6页Journal of Liaoning University：Natural Sciences Edition

摘　　要：在位势与特征函数之间的约束下,谱问题y_(xx)=(λ^(-1)u+v+λW)y-λ~2y被非线性化为一个Liouville意义下的完全可积的C·Neumann系统。我们获得一个新的N对合系并且给出与这个谱问题相联系的孤子方程族的对合解。Under a constraint between the potentials and the eigenfunctions, the spectral problem, y_(xx)=(λ^(-1)u+v+λw)y-λ~2y, is nonlinearized as a completely integrable C. Neumann system in the Liouville sense. A new N-involutive system is obtained and the involutive solutions of soliton hierarchy associated with the spectral problem are given.

关 键 词：孤子方程 对合解 诺伊曼系统 

分 类 号：O175[理学—数学]