KP和mKP可积系列的平方本征对称和Miura变换

数学物理学报 ›› 2020, Vol. 40 ›› Issue (1): 10-19.

KP和mKP可积系列的平方本征对称和Miura变换

耿露敏,陈慧展,李娜,程纪鹏*

^{中国矿业大学数学学院江苏徐州 221116}

收稿日期:2018-09-27 出版日期:2020-01-26 发布日期:2020-04-08
通讯作者: 程纪鹏
基金资助:
中国博士后科学基金(2016M591949);江苏省博士后科学基金(1601213C)

The Squared Eigenfunction Symmetries and Miura Transformations for the KP and mKP Hierarchies

Lumin Geng,Huizhan Chen,Na Li,Jipeng Cheng*

^{School of Mathematics, China University of Mining Technology, Jiangsu Xuzhou 221116}

Received:2018-09-27 Online:2020-01-26 Published:2020-04-08
Contact: Jipeng Cheng
Supported by:
中国博士后科学基金(2016M591949);江苏省博士后科学基金(1601213C)

摘要/Abstract

摘要：

该文讨论了KP和mKP可积系列及其约束情形的平方本征对称与Miura变换和反-Miura变换的关系.

关键词: KP和mKP可积系列, 约束KP和约束mKP可积系列, 平方本征对称, Miura变换和反-Miura变换

Abstract:

In this paper, we discuss the relations of the squared eigenfunction symmetry and the Miura and auti-Miura transformations for the KP and mKP hierarchies and their constrained cases.

Key words: KP and mKP hierarchies, Constrained KP and constrained mKP hierarchies, Squared eigenfunction symmetry, Miura and auti-Miura transformations

中图分类号:

O411.1

耿露敏,陈慧展,李娜,程纪鹏. KP和mKP可积系列的平方本征对称和Miura变换[J]. 数学物理学报, 2020, 40(1): 10-19.

Lumin Geng,Huizhan Chen,Na Li,Jipeng Cheng. The Squared Eigenfunction Symmetries and Miura Transformations for the KP and mKP Hierarchies[J]. Acta mathematica scientia,Series A, 2020, 40(1): 10-19.

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