doi: 10.17706/ijapm.2015.5.1.29-38
Bargmann Symmetry Constraint and Binary Nonlinearization of a Super Integrable Hierarchy
Sixing Tao
- School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu 476000, PR China
Abstract
An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for a super integrable hierarchy. Under the obtained symmetry constraint, the n-th flow of the super integrable 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.
Keywords
- Symmetry constraints
- binary nonlinearization
- super integrable hierarchy
- super finite-dimensional integrable Hamiltonian systems
How to Cite
Sixing Tao, "Bargmann Symmetry Constraint and Binary Nonlinearization of a Super Integrable Hierarchy," International Journal of Applied Physics and Mathematics, vol. 5, no. 1, pp. 29-38, 2015. https://doi.org/ 10.17706/ijapm.2015.5.1.29-38
Copyright & License
Copyright © 2015 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).