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J. Yu, J. S. He, W. X. Ma and Y. Cheng, “The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Dirac System,” Chinese Annals of Mathematics, Series B, Vol. 31, No. 3, 2010, pp. 361-372. doi:10.1007/s11401-009-0032-6

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.