%0 Journal Article
%A Yu-feng ZHANG
%A Hai-feng WANG
%A Na BAI
%T Schemes for Generating Different Nonlinear Schrödinger Integrable Equations and Their Some Properties
%D
%R 10.1007/s10255-022-1099-z
%J 应用数学学报(英文版)
%P 579-600
%V 38
%N 3
%X In the paper, we want to derive a few of nonlinear Schröodinger 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 Schrödinger hierarchy (briefly GNISH) singles out, from which we get a derivative nonlinear Schrödinger equation, a generalized nonlocal Schrödinger 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 Schrödinger-Maxwell-Bloch (GNLS-MB) equation and its hierarchy by introducing a generalized Zakhrov-Shabat spectral problem, whose soliton solutions and gauge transformations are obtained.
%U https://applmath.cjoe.ac.cn/jweb_yysxxb_en/CN/10.1007/s10255-022-1099-z