doi: 10.7763/IJAPM.2013.V3.199
Bargmann Symmetry Constraint and Binary Nonlinearization of Super Guo Hierarchy
Si-Xing Tao
- School of Mathematics and Information Science, Shangqiu Normal University, Henan, Shangqiu 476000, China
Abstract
An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for the super Guo hierarchy. Under the obtained symmetry constraint, the n-th flow of the super Guo hierarchy is decomposed into two super finite –dimensional integrable Hamiltonian systems, which defined over the super symmetry manifold <i>R</i><sup>4N|2N</sup> with the corresponding dynamical variables <i>x</i> and <i>t</i><sub>n</sub>. The integrals of motion required for Liouville integrability are explicitly given.
Keywords
- Symmetry constraint
- binary nonlinearization
- super guo hierarchy
- super finitee-dimensional integrable hamiltonian systems
How to Cite
Si-Xing Tao, "Bargmann Symmetry Constraint and Binary Nonlinearization of Super Guo Hierarchy," International Journal of Applied Physics and Mathematics, vol. 3, no. 3, pp. 167-172, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.199
Copyright & License
Copyright © 2013 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).