A Unified and Explicit Construction
of N-Soliton Solutions for the Nonlinear Schrödinger Equation |
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Authors: | FAN En-Gui |
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Institution: | Institute of Mathematics, Fudan University, Shanghai 200433, China |
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Abstract: | An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrödinger equation
is constructed with the help of its Lax pairs and a reduction technique.
According to this Darboux transformation, the solutions of the nonlinear Schrödinger equation are reduced to solving a linear algebraic system, from which a unified and explicit formulation of N-soliton solutions with multiparameters for
the nonlinear Schrödinger equation is given. |
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Keywords: | Schrödinger equation N-fold Darboux transformation N-soliton solutions |
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