A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources

被引：4
|
作者：
Yu, Fajun [1 ]
机构：
[1] Shenyang Normal Univ, Dept Math, Coll Maths & Systemat Sci, Shenyang 110034, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 03期
关键词：
Integrable coupling; Self-consistent sources; Non-isospectral; Cubic Volterra lattice; 2 ARBITRARY FUNCTIONS; LIE-ALGEBRAS; PERTURBATION EQUATIONS; SOLITON-EQUATIONS; SEMIDIRECT SUMS; VRIES EQUATION; LOOP ALGEBRA; SYSTEM; KORTEWEG; IDENTITY;
D O I：
10.1016/j.amc.2009.06.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A kind of non-isospectral integrable couplings of discrete soliton equations hierarchy with self-consistent sources associated with (s) over tildel(4) [Y.F. Zhang, E. G. Fan, Characteristic Numbers of Matrix Lie Algebras, Commun. Theor. Phys ( China) 49 ( 2008) 845] is presented. As an application example, the hierarchy of non-isospectral cubic Volterra lattice hierarchy with self-consistent sources is derived. Furthermore, we construct a non-isospectral integrable couplings of cubic Volterra lattice hierarchy with self-consistent sources by using the loop algebra (s) over tildel(4). (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1217 / 1223
页数：7
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