Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-19 DOI:10.1515/ijnsns-2020-0188

Chuanzhong Li, Wenna Liu

引用次数: 0

Abstract

The general Fredholm determinants have a close connection with integrable systems. Inspired by the connection between Fredholm determinants and mKdV/sinh-Gordon hierarchies, we construct a Z n -Fredholm determinant and show how the Z n -Fredholm determinants can be governed by Z n -mKdV/Z n -sinh-Gordon hierarchies.

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Fredholm行列式和zn -mKdV/ zn -sinh-Gordon层次结构

一般的Fredholm行列式与可积系统有密切的联系。受Fredholm行列式和mKdV/sinh-Gordon层次结构之间联系的启发，我们构造了一个Z n -Fredholm行列式，并展示了Z n -Fredholm行列式如何被Z n -mKdV/Z n -sinh-Gordon层次结构所控制。

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

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.