中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70201-070201.doi: 10.1088/1674-1056/20/7/070201

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Binary nonlinearization of the super classical-Boussinesq hierarchy

王惠1, 陶司兴2, 史会3   

  1. (1)Department of Mathematics, Shanghai University, Shanghai 200444, China; (2)Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China; (3)Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China
  • 收稿日期:2010-12-12 修回日期:2011-02-23 出版日期:2011-07-15 发布日期:2011-07-15

Binary nonlinearization of the super classical-Boussinesq hierarchy

Tao Si-Xing(陶司兴)a), Wang Hui(王惠)b), and Shi Hui(史会)c)†   

  1. a Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China; b Department of Mathematics, Shanghai University, Shanghai 200444, China; c Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China
  • Received:2010-12-12 Revised:2011-02-23 Online:2011-07-15 Published:2011-07-15

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摘要： The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.

关键词: symmetry constraints, binary nonlinearization, super classical-Boussinesq hierarchy, super finite-dimensional integrable Hamiltonian systems

Abstract: The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.

Key words: symmetry constraints, binary nonlinearization, super classical-Boussinesq hierarchy, super finite-dimensional integrable Hamiltonian systems

中图分类号:  (Lie algebras of Lie groups)

  • 02.20.Sv
02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)