A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws
Summary: Based on the three-dimensional real special orthogonal Lie algebra \(\mathrm{so} (3, \mathbb R)\), 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.
scientific article; zbMATH DE number 6953085
scientific article