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

Sixing Tao, Hui Shi

School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China.
School of Physics and Electronic Information, Shangqiu Normal University, Shangqiu, China.

DOI: 10.4236/jmp.2013.45B002                

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 R^4N｜2N with the corresponding dynamical variables x and t_n. The integrals of motion required for Liouville integrability are explicitly given.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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