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.