Miura and auto-Backlund transformations for the discrete KP and mKP hierarchies and their constrained cases

被引：11

作者：

Cheng, Jipeng ^{[1
]}

He, Jingsong ^{[2
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 69卷

关键词：

The dKP and mdKP hierarchies; The cdKP and cmdKP hierarchies; Miura transformation; Auto-Backlund transformation; GAUGE TRANSFORMATIONS; SYMMETRIES; EQUATION;

D O I：

10.1016/j.cnsns.2018.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Miura and auto-Backlund transformations for the dKP and mdKP hierarchies and their constrained cases are investigated. The combination of the Miura and reverse-Miura transformations are used to derive the auto-Backlund transformations. Also some applications of above results are considered. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：187 / 197

页数：11

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