Non-Lie reduction of nonlinear Schrödinger equation (Q1185175)
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scientific article; zbMATH DE number 37733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-Lie reduction of nonlinear Schrödinger equation |
scientific article; zbMATH DE number 37733 |
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Non-Lie reduction of nonlinear Schrödinger equation (English)
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28 June 1992
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For the many-dimensional Schrödinger equation with power nonlinearity the author builds a class of Ansatzes that reduce this equation to a system of ordinary differential equations. The author argues that these Ansatzes can not be found in frame of a traditional Lie approach.
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Ansatz
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reduction to ordinary differential equations
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