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

Index Terms—Symmetry constraint, binary nonlinearization, super guo hierarchy, super finitee-dimensional integrable hamiltonian systems.

S.-X. Tao is with School of Mathematics and Information Science, Shangqiu Normal University, Henan, Shangqiu 476000, China (email: taosixing@163.com).

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.