A new multi-component discrete integrable hierarchy and multi-component cubic Volterra integrable hierarchy as well as their coupling systems

摘要

By using a new algebraic system GM, a new multi-component discrete integrable hierarchy and multi-component cubic Volterra integrable hierarchy are obtained. Moreover, an new extended algebraic system eGM of GM is presented,from which the integrable couplings system of the multi-component lattice hierarchy are obtained.