Higher Symmetries of Lattices in 3D

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2024-12-03 DOI:10.1134/S1560354724060017

Ismagil T. Habibullin, Aigul R. Khakimova

引用次数: 0

Abstract

It is known that there is a duality between the Davey – Stewartson type coupled systems and a class of integrable two-dimensional Toda type lattices. More precisely, the coupled systems are generalized symmetries for the lattices and the lattices can be interpreted as dressing chains for the systems. In our recent study we have found a novel lattice which is apparently not related to the known ones by Miura type transformation. In this article we describe higher symmetries to this lattice and derive a new coupled system of DS type.

查看原文本刊更多论文

三维网格的更高对称性

已知在Davey - Stewartson型耦合系统和一类二维可积Toda型格之间存在对偶性。更准确地说，耦合系统是晶格的广义对称性，晶格可以解释为系统的修整链。在我们最近的研究中，我们通过Miura型变换发现了一个与已知晶格明显无关的新晶格。在本文中，我们描述了这种晶格的高对称性，并推导了一种新的DS型耦合系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.