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Bargmann Symmetry Constraint and Binary Nonlinearization of Super NLS-MKdV Hierarchy
School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China
School of Physics and Electronic Information, Shangqiu Normal University, Shangqiu, China
- 1 School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China
- 2 School of Physics and Electronic Information, Shangqiu Normal University, Shangqiu, China
Journal of Modern Physics·Volume 04 (2013)·Pages 5–11·Published 30 May 2013·DOI10.4236/jmp.2013.45B002
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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 R 4N｜2N with the corresponding dynamical variables x and t n . The integrals of motion required for Liouville integrability are explicitly given.
KeywordsSymmetry ConstraintsBinary NonlinearizationSuper NLS-MKdV HierarchySuper Finite Dimensional Integrable Hamiltonian Systems
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