title: Three semi-direct sum Lie algebras and three discrete integrable couplings associated with the modified KdV lattice equation.
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.
authors.affiliation: College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, PR China.
authors.forename: Zhang
authors.initials: Z
authors.lastname: Yu
authors.forename: Yufeng
authors.initials: Y
authors.lastname: Zhang