The KdV hierarchy: Cauchy matrix approach

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-22 DOI:10.1016/j.aml.2025.109726

Zichen Huang , Shangshuai Li , Da-jun Zhang

引用次数: 0

Abstract

The Cauchy matrix approach is a direct method that has been widely used in the study of integrable systems. In this paper, we show how the Korteweg–de Vries hierarchy and their solutions can be formulated in the Cauchy matrix approach. Such a formulation can be extended to other integrable equations that admit Cauchy matrix structure.

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KdV层次：柯西矩阵方法

柯西矩阵法是在可积系统的研究中得到广泛应用的一种直接方法。在本文中，我们展示了Korteweg-de Vries层次结构及其解如何在柯西矩阵方法中表述。这样的公式可以推广到其他可积方程，承认柯西矩阵结构。

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

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.