Gauge transformations between three-component KP and three-component mKP hierarchies

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-09-24 DOI:10.1134/S0040577924090058

Lin Sun, Chuanzhong Li, Ming Chen, Wei Liu

引用次数: 0

Abstract

We examine the gauge transformations between the three-component Kadomtsev–Petviashvili (KP) hierarchy and the three-component modified Kadomtsev–Petviashvili (mKP) hierarchy. We introduce the auto-Bäcklund transformation of the three-component KP hierarchy and describe the Miura transformation of the three-component KP and mKP hierarchies, that is, \(k=0\to k=1\). Additionally, the auto-Bäcklund transformation of the three-component mKP hierarchy is also given. This provides more powerful evidence that the gauge transformations generate Miura and auto-Bäcklund transformation on the eigenfunctions of the three-component KP and mKP hierarchies.

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三分量 KP 和三分量 mKP 层次之间的量纲变换

我们研究了三分量卡多姆采夫-彼得维亚什维利（KP）层次结构与三分量修正卡多姆采夫-彼得维亚什维利（mKP）层次结构之间的量规变换。我们介绍了三分量KP层次结构的自动-贝克隆变换，并描述了三分量KP和mKP层次结构的米乌拉变换，即（k=0\to k=1\）。此外，还给出了三分量 mKP 层次的自贝克伦变换。这为三分量KP和mKP层次结构的特征函数上的规规变换产生Miura和auto-Bäcklund变换提供了更有力的证据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.