Prolongation theory. A new nonlinear Schrödinger equation |
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| Authors: | Swapna Roy A Roy Chowdhury |
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| Institution: | (1) High Energy Physics Division, Department of Physics, Jadavpur University, 700032 Calcutta, India |
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| Abstract: | We discuss a new kind of nonlinear Schrödinger equation from the viewpoint of prolongation theory. It is shown that the equation possess a Lax pair with a 3 × 3 matrix structure. It is further demonstrated that by a multiple scale perturbation of Zakharovet al. it can be reduced to the usual KdV equation. |
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