Derivation of Expanded Isospectral-Nonisospectral Integrable Hierarchies via the Column-vector Loop Algebra  

作　　者：Hai-feng WANG Yu-feng ZHANG 

机构地区：[1]School of Science,Jimei University,Xiamen 361021,China [2]School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第3期778-800,共23页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.12371256)。

摘　　要：A scheme for generating nonisospectral integrable hierarchies is introduced.Based on the method,we deduce a nonisospectral hierarchy of soliton equations by considering a linear spectral problem.It follows that the corresponding expanded isospectral and nonisospectral integrable hierarchies are deduced based on a 6 dimensional complex linear space ■.By reducing these integrable hierarchies,we obtain the expanded isospectral and nonisospectral derivative nonlinear Schr?dinger equation.By using the trace identity,the biHamiltonian structure of these two hierarchies are also obtained.Moreover,some symmetries and conserved quantities of the resulting hierarchy are discussed.

关 键 词：expanded isospectral-nonisospectral integrable hierarchies column-vector loop algebra bi-Hamiltonian structure SYMMETRY 

分 类 号：O15[理学—数学]