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

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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 R^{4N｜2N }with the corresponding dynamical variables *x *and* t _{n}*. The integrals of motion required for Liouville integrability are explicitly given.

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*Journal of Modern Physics*, Vol. 4 No. 5B, 2013, pp. 5-11. doi: 10.4236/jmp.2013.45B002.

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