PARAMETERS OF DARBOUX TRANSFORMATION FOR REDUCED AKNS,KAUP-NEWELL AND PCF SYSTEMS

作     者：ZHOU ZIXIANG(Institute of Mathematics, Fudan University, Shanghai 200433) ZHOU ZIXIANG(Institute of Mathematics, Fudan University, Shanghai 200433)

作者机构：Institute of Mathematics Fudan University Shanghai 200433 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1999年第20卷第2期

页      面：195-204页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家教育部高等学校博士学科点专项科研基金 国家攀登计划项目 国家自然科学基金 

主　　题：Darboux transformation Spectral parameters u(p q) reduction 

摘      要：FOr the integrable system with u(p, q) reduction, there is a well-known sufficient conditionto choose the parameters: the spectral parameters only take two mutually conjugate valuesand the solutions of the Lax pair should satisfy certain orthogonal relations. In this paper, theauthor proves that, for the AKNS system, the Kaup-Newed system and the principal chiralfield (PCF), this condition is also necessary for generic potentials with the u(p, q) *** some other reductions, sufficiency and necessity of more constraints are proved.