A New Soliton Hierarchy Associated with so⁡3, R and Its Conservation Laws. (13th July 2016)

• Record Type: Journal Article
• Authors: Wei, Hanyu; Xia, Tiecheng; He, Guoliang
• Other Names: Gandarias Maria L. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-07-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/3682579
• Languages: English
• ISSNs: 1024-123X

Abstract

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.