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| Binary nonlinearization of the super classical-Boussinesq hierarchy |
| Wang Huia, Tao Si-Xingb, Shi Huic |
| a Department of Mathematics, Shanghai University, Shanghai 200444, China; b Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China; c Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China |
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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.
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Received: 12 December 2010
Published: 15 July 2011
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2011, Vol. 20 
