Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type (Q915020)
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scientific article; zbMATH DE number 4150965
| Language | Label | Description | Also known as |
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| English | Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type |
scientific article; zbMATH DE number 4150965 |
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Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type (English)
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1989
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Asymptotics as \(t\to +\infty\) of the solution to the nonlinear Schrödinger equation \(iu_ t+u_{xx}-2u| u|^ 2=0\) is investigated in the case of initial data tending rapidly as \(x\to \pm \infty\) to different single-gap potentials.
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Schrödinger equation
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Asymptotics
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nonlinear Schrödinger equation
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single-gap potentials
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