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Binary nonlinearization of the super classical-Boussinesq hierarchy
【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 t n.The integrals of motion required for Liouville integrability are explicitly given.
【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.
【Key words】 symmetry constraints; binary nonlinearization; super classical-Boussinesq hierarchy; super finite-dimensional integrable Hamiltonian systems;
- 【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2011年07期
- 【分类号】O411
- 【被引频次】4
- 【下载频次】16