TY - JOUR T1 - Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures AU - Zhang , Huiqun AU - Zhou , Yubin AU - Xu , Junqin JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 588 EP - 598 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2014.m542 UR - https://global-sci.org/intro/article_detail/aamm/12105.html KW - Integrable coupling, bi-integrable coupling, Hamiltonian structure, block matrix loop algebra. AB -
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.