Non-perturbative solutions of a nonlinear Schrödinger equation in a quadratic potential (Q1078400)
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scientific article; zbMATH DE number 3960049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-perturbative solutions of a nonlinear Schrödinger equation in a quadratic potential |
scientific article; zbMATH DE number 3960049 |
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Non-perturbative solutions of a nonlinear Schrödinger equation in a quadratic potential (English)
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1986
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A nonlinear Schrödinger equation with a quadratic potential term \[ iq_ t+q_{xx}+2 | q|^ 2 q+()K x^ 2 q=0 \] has been solved by the inverse scattering transform technique, and a class of solutions q(x,t) which are symmetric or antisymmetric in x has been determined.
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nonlinear Schrödinger equation
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inverse scattering transform
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