与椭圆曲线相关的卡多姆采夫-彼得维亚什维利晶格系统的新解

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2024-08-01 DOI:10.1016/S0034-4877(24)00053-3

Ying-ying Sun , Xinyi Wang, Da-jun Zhang

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引用次数: 0

摘要

通过考奇矩阵方案，我们重新审视了与椭圆曲线相关的格卡多姆采夫-佩特维亚什维利系统的一般化，即椭圆可积分系统。研究获得了各种类型的显式解，其中一些解提供了具有数学和物理意义的新见解。椭圆晶格卡多姆采夫-彼得维亚什维利系统精确解的构建与特殊西尔维斯特型矩阵方程的构建密切相关。

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New solutions of the lattice Kadomtsev–Petviashvili system associated with an elliptic curve

A generalization of the lattice Kadomtsev–Petviashvili system associated with an elliptic curve, that is referred to as an elliptic integrable system, has been revisited by means of the Cauchy matrix scheme. Various types of explicit solutions are obtained, some of which offer new insights of both mathematical and physical significance. The construction of exact solutions to the elliptic lattice Kadomtsev–Petviashvili system is closely connected to that of a special Sylvester-type matrix equation.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.