Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures

Huiqun Zhang; Yubin Zhou; Junqin Xu

doi:10.4208/aamm.2014.m542

Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures

Authors

Huiqun Zhang
Yubin Zhou
Junqin Xu

DOI:

https://doi.org/10.4208/aamm.2014.m542

Keywords:

Integrable coupling, bi-integrable coupling, Hamiltonian structure, block matrix loop algebra.

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.