Binary nonlinearization of the super classical-Boussinesq hierarchy

doi:10.1088/1674-1056/20/7/070201

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 t_n. The integrals of motion required for Liouville integrability are explicitly given.

Keywords: symmetry constraints binary nonlinearization super classical-Boussinesq hierarchy super finite-dimensional integrable Hamiltonian systems

Received: 12 December 2010
Revised: 23 February 2011
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

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Tao Si-Xing(陶司兴), Wang Hui(王惠), and Shi Hui(史会) Binary nonlinearization of the super classical-Boussinesq hierarchy 2011 Chin. Phys. B 20 070201

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