The sTB-B Hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, TeX

Scientific paper

10.1016/S0370-2693(97)00854-X

We construct a new supersymmetric two boson (sTB-B) hierarchy and study its properties. We derive the conserved quantities and the Hamiltonian structures (proving the Jacobi identity) for the system. We show how this system gives the sKdV-B equation and its Hamiltonian structures upon appropriate reduction. We also describe the zero curvature formulation of this hierarchy both in the superspace as well as in components.

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