A New Soliton Hierarchy Associated with so⁡3, R and Its Conservation Laws. (13th July 2016) - Wei, Hanyu
Abstract : Based on the three-dimensional real special orthogonal Lie algebras o ( 3, R ), we construct a new hierarchy of soliton equations by zero curvature equations and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure and thus integrable in the Liouville sense. Furthermore, we present the infinitely many conservation laws for the new soliton hierarchy.