耦合五点格：Lax对和哈密顿结构

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-02-06 DOI:10.1016/j.aml.2025.109484

Minxin Jia, Xianguo Geng

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引用次数: 0

摘要

提出了一个晶格方程的层次结构，其中包括一个耦合五点晶格方程。利用零曲率方程，从一个4 × 4线性矩阵谱问题中导出了该层次的Lax对。随后，利用跟踪恒等式建立了层次结构的哈密顿结构。进一步给出了耦合五点点阵方程的无穷多条守恒定律。

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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Coupled five-point lattices: Lax pairs and Hamiltonian structures

A hierarchy of lattice equations, including a coupled five-point lattice equation, is proposed. By employing the zero-curvature equation, Lax pairs for this hierarchy are derived from a 4 × 4 linear matrix spectral problem. Subsequently, the Hamiltonian structure of the hierarchy is established using the trace identity. Furthermore, infinitely many conservation laws for the coupled five-point lattice equation are presented.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.