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H. H. Dong and X. Z. Wang, “Lie Algebra and Lie Super Algebra for the Integrable Couplings of NLS-MKdV Hierarchy,” Communications in Nonlinear Science and Numeical Simulation, Vol. 14, No. 12, 2009, pp. 4071-4077. doi:10.1016/j.cnsns.2009.03.010

has been cited by the following article:

• TITLE: Bargmann Symmetry Constraint and Binary Nonlinearization of Super NLS-MKdV Hierarchy

  AUTHORS: Sixing Tao, Hui Shi

  KEYWORDS: Symmetry Constraints; Binary Nonlinearization; Super NLS-MKdV Hierarchy; Super Finite Dimensional Integrable Hamiltonian Systems

  JOURNAL NAME: Journal of Modern Physics, Vol.4 No.5B, July 10, 2013

  ABSTRACT: An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for the super NLS-MKdV hierarchy. Under the obtained symmetry constraint, the n-th flow of the super NLS-MKdV hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold R4N｜2N with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.