The Extended Supersymmetrization of the Nonlinear Schrodinger Equation

Abstract

We present the new extended supersymmetrization of the Nonlinear Schrodinger Equation by introducing two superbosons fields with the different gradation. Our model is different from this considered by Toppan and in the reduced case (nonextended supersymmetry) is also different from this considered by Kulish and Roelofs and Kersten. We prove that our model is integrable by presenting its Lax formulation.

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