Schemes for Generating Different Nonlinear Schrodinger Integrable Equations and Their Some Properties

作     者：Yu-feng ZHANG Hai-feng WANG Na BAI Yu-feng ZHANG;Hai-feng WANG;Na BAI

作者机构：School of MathematicsChina University of Mining and TechnologyXuzhou 221116China School of Computer Science and TechnologyChina University of Mining and TechnologyXuzhou 221116China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2022年第38卷第3期

页      面：579-600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：supported by the National Natural Science Foundation of China(No.11971475)。 

主　　题：nonisospectral integrable hierarchy Schroodinger equation symmetry 

摘      要：In the paper,we want to derive a few of nonlinear Schrodinger equations with various formats and investigate their properties,such as symmetries,single soliton solutions,multi-soliton solutions,and so on.First of all,we propose an efficient and straightforward scheme for generating nonisospectral integrable hierarchies of evolution equations for which a generalized nonisospectral integrable Schrodinger hierarchy(briefly GNISH)singles out,from which we get a derivative nonlinear Schrodinger equation,a generalized nonlocal Schrodinger integrable system and furthermore we investigate the symmetries and conserved qualities of the GNISH.Next,we apply the dbar method to obtain a generalized nonlinear Schr?dinger-Maxwell-Bloch(GNLS-MB)equation and its hierarchy by introducing a generalized Zakhrov-Shabat spectral problem,whose soliton solutions and gauge transformations are obtained.