Solutions of the functional difference Toda equation from centered Darboux transformation

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-07-09 DOI:10.1007/s00010-024-01097-7

Pierre Gaillard

引用次数: 0

Abstract

By using a particular Darboux transformation which we can call centered Darboux transformation, we construct solutions of the functional difference Toda lattice equation in terms of Casorati determinants. We give a complete description of the method and the corresponding proofs. We construct some explicit solutions for the first orders.

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从居中的达尔布变换求函数差分户田方程的解

通过使用一种特殊的达布变换（我们可以称之为中心达布变换），我们用卡索拉蒂行列式构造了函数差分托达晶格方程的解。我们给出了该方法的完整描述和相应证明。我们构建了一些一阶的显式解。

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

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.