A New Soliton Hierarchy Associated with so 3 , R and Its Conservation Laws

الملخص EN

Based on the three-dimensional real special orthogonal Lie algebra s 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.