典型文献
Schemes for Generating Different Nonlinear Schr?dinger Integrable Equations and Their Some Properties
文献摘要：
In the paper,we want to derive a few of nonlinear Schr?dinger 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 Schr?dinger hierarchy(briefly GNISH)singles out,from which we get a derivative nonlinear Schr?dinger equation,a generalized nonlocal Schr?dinger 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.
文献关键词：
中图分类号：
作者姓名：
Yu-feng ZHANG;Hai-feng WANG;Na BAI
作者机构：
School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China;School of Computer Science and Technology,China University of Mining and Technology,Xuzhou 221116,China
文献出处：
引用格式：
[1]Yu-feng ZHANG;Hai-feng WANG;Na BAI-.Schemes for Generating Different Nonlinear Schr?dinger Integrable Equations and Their Some Properties)[J].应用数学学报（英文版）,2022(03):579-600
A类：
nonisospectral,GNISH,dbar,GNLS,Zakhrov,Shabat
B类：
Schemes,Generating,Different,Nonlinear,Schr,dinger,Integrable,Equations,Their,Some,Properties,paper,want,derive,few,nonlinear,equations,various,formats,investigate,their,properties,such,as,symmetries,soliton,solutions,multi,First,all,propose,efficient,straightforward,scheme,generating,integrable,hierarchies,evolution,which,generalized,hierarchy,briefly,singles,out,from,get,derivative,nonlocal,system,furthermore,conserved,qualities,Next,apply,method,Maxwell,Bloch,MB,its,by,introducing,problem,whose,gauge,transformations,are,obtained
AB值：
0.520388
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