Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures. Issue 4 (27th May 2016)

• Record Type: Journal Article
• Authors: Zhang, Huiqun; Zhou, Yubin; Xu, Junqin
• Is Part Of: Advances in applied mathematics and mechanics. Volume 8:Issue 4(2016)
• Page Start: 588
• Page End: 598
• Publication Date: 2016-05-27
• Subjects: 37K05, -- 35Q53; Integrable coupling, -- bi-integrable coupling, -- Hamiltonian structure, -- block matrix loop algebra; Engineering mathematics -- Periodicals; Mechanics -- Periodicals; 620.00151825
• DOI: 10.4208/aamm.2014.m542
• Languages: English
• ISSNs: 2070-0733

Abstract

Abstract: Integrable couplings of the Boiti-Pempinelli-Tu hierarchy are constructed by a class of non-semisimple block matrix loop algebras. Further, through using the variational identity theory, the Hamiltonian structures of those integrable couplings are obtained. The method can be applied to obtain other integrable hierarchies.