On the extended 2-dimensional Toda lattice models

被引：0

作者：

Wang, Conghan ^{[1
,2
]}

Li, Shangshuai ^{[1
,2
,3
]}

Zhang, Da-jun ^{[1
,2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China

[2] Shanghai Univ, Newtouch Ctr Math, Shanghai, Peoples R China

[3] Waseda Univ, Fac Sci & Engn, Dept Appl Math, Tokyo, Japan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 221卷 / 03期

基金：

中国国家自然科学基金;

关键词：

extended 2-dimensional Toda lattice; Cauchy matrix approach; bilinear; tau-function; INTEGRABLE EQUATIONS; SYLVESTER EQUATION;

D O I：

10.1134/S0040577924120043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：2049 / 2061

页数：13

共 28 条

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