TWO EXPANDING INTEGRABLE MODELS OF THE AKNS HIERARCHY WITH FIVE-POTENTIAL FUNCTIONS
Some integrable couplings of the AKNS hierarchy were obtained. However, integrable couplings containing five-potential functions of the AKNS hierarchy have not been obtained, to our best knowledge. In the paper, we reveal two integrable couplings with five-potential functions of the AKNS hierarchy are produced through establishing a kind of enlarging Lie algebras and 0-curvature equations.
integrable coupling, AKNS hierarchy, Lie algebra.
