Bi-integrable couplings of a new soliton hierarchy associated with a non-semisimple Lie algebra

摘要

We construct bi-integrable couplings for a new soliton hierarchy from zero curvature equations associated with a non-semisimple loop algebra. We demonstrate the Liouville integrability of the hierarchy by showing that the bi-integrable couplings generated are bi-Hamiltonian.