中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1177-1181.doi: 10.1088/1009-1963/16/5/001
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董焕河
Dong Huan-He(董焕河)†
摘要: A direct way to construct integrable couplings for discrete systems is presented by use of two semi-direct sum Lie algebras. As their applications, the discrete integrable couplings associated with modified Korteweg--de Vries (m-KdV) lattice and two hierarchies of discrete soliton equations are developed. It is also indicated that the study of integrable couplings using semi-direct sums of Lie algebras is an important step towards the complete classification of integrable couplings.
中图分类号: (Integrable systems)