A New Method to Construct Integrable Coupling System for Burgers Equation Hierarchy by Kronecker Product

摘要

It is shown that the Kronecker product can be applied to construct a new integrable coupling system of sofiton equation hierarchy in this paper. A direct application to the Burgers spectral problem leads to a novel soliton equation hierarchy of integrable coupling system. It indicates that the Kronecker product is an efficient and straightforward method to construct the integrable couplings.