Cite this article:
Tao Si-Xing, Wang Hui, Shi Hui. Binary nonlinearization of the super classical-Boussinesq hierarchyJ. Chin. Phys. B, 2011, 20(7): 070201.
| Tao Si-Xing, Wang Hui, Shi Hui. Binary nonlinearization of the super classical-Boussinesq hierarchyJ. Chin. Phys. B, 2011, 20(7): 070201. |
Binary nonlinearization of the super classical-Boussinesq hierarchy
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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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