Dubrovin method and the Toda chain

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2024-01-26 DOI:10.1090/spmj/1787

V. Matveev, A. Smirnov

引用次数: 0

Abstract

A hierarchy of Lax pairs with 2 × 2 2\times 2 matrix coefficients is presented. The compatibility conditions for these pairs include the Toda chain equation, and other differential-difference integrable systems. Various kinds of finite gap solutions for such systems are constructed. Examples of simplest one- and two-phase solutions are given, together with the corresponding spectral curves.

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杜布罗温法和户田链

介绍了具有 2 × 2 2 次矩阵系数的 Lax 对的层次结构。这些对的相容条件包括户田链方程和其他微分-差分可积分系统。构建了此类系统的各种有限间隙解。给出了最简单的单相和两相解的例子，以及相应的谱曲线。

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

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.