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

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DOI: 10.4236/jmp.2013.45B002    2,295 Downloads   3,134 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

S. Tao and H. Shi, "Bargmann Symmetry Constraint and Binary Nonlinearization of Super NLS-MKdV Hierarchy," Journal of Modern Physics, Vol. 4 No. 5B, 2013, pp. 5-11. doi: 10.4236/jmp.2013.45B002.

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