The Lax Representation and Darboux Transformation for Constrained Flows of the AKNS Hierarchy

作     者：Zeng Yunbo Li Yishen Zeng Yunbo Department of Applied Mathematics Tsinghua University Beijing,100084 ChinaLi Yishen Department of Mathematics University of Science and Technology of China Hefei,230026 China 

作者机构：Tsinghua University University of Science and Technology of China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1996年第12卷第2期

页      面：217-224页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the Chinese National Basic Research Project"Nonlinear Science" 

主　　题：Constrained flow Lax representation Adjoint representation Darboux transformation 

摘      要：By using a general scheme for decomposing a zero-curvature equation into two commut- ing x-and t_n-finite-dimensional integrable Hamiltonian systems (FDIHS),a systematic deduction of the Lax representation for all constrained flows of the AKNS hierarchy from the adjoint repre- sentation of the two auxiliary linear problems is *** Darboux transformation for these FDIHSs is derived.