关于扩展的二维Toda晶格模型

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

Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI:10.1134/S0040577924120043

Conghan Wang, Shangshuai Li, Da-jun Zhang

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引用次数: 0

摘要

利用柯西矩阵方法研究了一个扩展的\(2\)维Toda格方程。我们在扩展中引入方向参数，并将方程表示为\(3\)维空间中的耦合系统。该方程也可以看作是离散Kadomtsev-Petviashvili方程一个方向上的负阶项。通过引入\(\tau\) -函数和辅助方向，可以用一个\(\tau\) -函数在\(4\)维空间中对方程进行双线性化。

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On the extended 2-dimensional Toda lattice models

An extended \(2\)-dimensional Toda lattice equation is investigated by means of the Cauchy matrix approach. We introduce a direction parameter in the extension and represented the equation as a coupled system in a \(3\)-dimensional space. The equation can also be considered as a negative-order member in one direction of the discrete Kadomtsev–Petviashvili equation. By introducing the \(\tau\)-function and an auxiliary direction, the equation can be bilinearized in a \(4\)-dimensional space with a single \(\tau\)-function.

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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.