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.
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.
基金
Project supported by the National Natural Science Foundation of China (Grant Nos.61072147 and 11071159)
the Natural Science Foundation of Shanghai,China (Grant No.09ZR1410800)
the Science Foundation of the Key Laboratory of Mathematics Mechanization,China (Grant No.KLMM0806)
the Shanghai Leading Academic Discipline Project,China (Grant No.J50101)
the Key Disciplines of Shanghai Municipality of China (Grant No.S30104)
