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W. X. Ma, “New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations,” Journal of the Physical Society of Japan, Vol. 64, No. 4, 1995, pp. 1085-1091. doi: 10.1143/JPSJ.64.1085

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.