一类特殊的离散boussinesq型耦合晶格系统

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

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI:10.1016/S0034-4877(23)00026-5

Guesh Yfter Tela, Da-jun Zhang

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引用次数: 0

摘要

本文研究了Fordy和Xenitidis最近提出的离散Boussinesq型的多维一致耦合四边形系统。它通过一种特殊的色散关系区别于已知的离散Boussinesq型方程。构造了一个Bäcklund变换，并利用Bäcklund变换导出了一个单孤子解。我们还给出了耦合方程的双线性形式，并给出了多孤子解的公式。双孤子解的平面波因子和相位因子均表明耦合系统属于离散的Boussinesq族，但在Miwa坐标上不存在连续对应。

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ON A SPECIAL COUPLED LATTICE SYSTEM OF THE DISCRETE BOUSSINESQ TYPE

In this paper, we investigate a multidimensionally consistent coupled quadrilateral system of the discrete Boussinesq type, proposed by Fordy and Xenitidis recently. It is distinguished from the known discrete Boussinesq type equations by a special dispersion relation. A Bäcklund transformation is constructed and a one-soliton solution is derived using the Bäcklund transformation. We also give bilinear forms of the coupled equations and present formulae for multisoliton solutions. Both plane wave factor and phase factor in two-soliton solutions indicate the coupled systems belong to the discrete Boussinesq family, but there is no continuous correspondence in terms of the Miwa coordinates.

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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.