Conservation laws of some lattice equations

被引：5
|
作者：
Cheng, Junwei [1 ]
Zhang, Dajun [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2013年 / 8卷 / 05期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Conservation law; Lax pair; multi-dimensionally consistent lattice equation; discrete integrable system; DIFFERENCE-EQUATIONS; QUAD-GRAPHS; HIERARCHY; SYSTEMS; DISCRETE;
D O I：
10.1007/s11464-013-0304-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive infinitely many conservation laws for some multidimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schrodinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian lattice Boussinesq equation, and Toda-modified lattice Boussinesq equation.
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页码：1001 / 1016
页数：16
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