The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems

2009/10/16 by Jing Yu, Yu, Jing, Jingsong He +5
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0910.3080

Abstract

An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for the super Dirac systems. Under the obtained symmetry constraint, the n-th flow of the super Dirac hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the supersymmetry manifold R^4N|2N with the corresponding dynamical variables x and t_n. The integrals of motion required for Liouville integrability are explicitly given.

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