Integrable dynamics of Toda type on square and triangular lattices

被引：5
|
作者：
Santini, P. M. [1 ,2 ]
Doliwa, A. [3 ]
Nieszporski, M. [4 ,5 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] Ist Nazl Fis Nucl, Sez Roma, I-00185 Rome, Italy
[3] Uniwersytet Warminsko Mazurski Olsztynie, Wydziat Matemat & Informat, PL-10561 Olsztyn, Poland
[4] Univ Warsaw, Katedra Metod Matemat Fiz, PL-00682 Warsaw, Poland
[5] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
来源：
PHYSICAL REVIEW E | 2008年 / 77卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.77.056601
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. We construct other examples of integrable dynamics of Toda type on the square lattice, as well as on the triangular lattice, as nonlinear symmetries of the discrete Laplace equations on square and triangular lattices. We also construct the tau-function formulations and Darboux-Backlund transformations of these dynamics.
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页数：12
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