关于离散修正KP层次：其约束情形的Wronskian解

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

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI:10.1016/S0034-4877(23)00057-5

Ge Yi, Liyun Wang, Kelei Tian, Ying Xu

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引用次数: 0

摘要

离散修正KP层次与广义k约束相容。利用规范变换，可以用满足一组线性方程的函数的朗斯基行列式来表示一大类解。本文给出了由朗斯基解得到的离散mKP层次化约为离散k约束mKP层次的一个充要条件。

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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On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases

The discrete modified KP hierarchies are compatible with generalized k-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian determinants of functions satisfying a set of linear equations. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete k-constrained mKP hierarchies.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.