从nls型矩阵重构问题到2和3单形方程的集论解

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI:10.1134/S0040577925070050

S. Konstantinou-Rizos

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引用次数: 0

摘要

本文提出了一种通过改变\(n\) -单纯形方程Lax表示中的谱参数来构造其解层次的方法。我们用这种方法推导了与Adler映射和非线性Schrödinger （NLS）型方程相关的集论\(2\) -和\(3\) -单纯形方程的新解。此外，我们还证明了一些导出的Yang-Baxter映射是完全可积的。

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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From NLS-type matrix refactorization problems to set-theoretic solutions of the 2- and 3-simplex equations

We present a method for constructing hierarchies of solutions of \(n\)-simplex equations by varying the spectral parameter in their Lax representation. We use this method to derive new solutions of the set-theoretic \(2\)- and \(3\)-simplex equations that are related to the Adler map and nonlinear Schrödinger (NLS) type equations. Moreover, we prove that some of the derived Yang–Baxter maps are completely integrable.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.