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与修正KdV格点方程相关的三个半直和李代数及三个离散可积耦合

Three semi-direct sum Lie algebras and three discrete integrable couplings associated with the modified KdV lattice equation.

作者信息

Yu Zhang, Zhang Yufeng

机构信息

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, PR China.

出版信息

Chaos Solitons Fractals. 2009 Jan 30;39(2):801-809. doi: 10.1016/j.chaos.2007.01.070.

Abstract

Three semi-direct sum Lie algebras are constructed, which is an efficient and new way to obtain discrete integrable couplings. As its applications, three discrete integrable couplings associated with the modified KdV lattice equation are worked out. The approach can be used to produce other discrete integrable couplings of the discrete hierarchies of solition equations.

摘要

构造了三个半直和李代数,这是获得离散可积耦合的一种有效且新颖的方法。作为其应用,求出了与修正的KdV晶格方程相关的三个离散可积耦合。该方法可用于生成孤子方程离散层次的其他离散可积耦合。

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