NEW SOLUTIONS OF THE LATTICE KADOMTSEV-PETVIASHVILI SYSTEM ASSOCIATED WITH AN ELLIPTIC CURVE

被引：0
|
作者：
Sun, Ying-ying [1 ]
Wang, Xinyi [1 ]
Zhang, Da-jun [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Dept Math, Shanghai 200093, Peoples R China
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2024年 / 94卷 / 01期
关键词：
elliptic lattice KP system; Cauchy matrix approach; Sylvester equation; solution; INTEGRABLE EQUATIONS; DIRECT LINEARIZATION; SYLVESTER EQUATION; TRANSFORMATIONS; BKP;
D O I：
10.1016/S0034-4877(24)00053-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页码：11 / 33
页数：23
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