The non linear Schrödinger equation on a torus (Q2871008)
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scientific article; zbMATH DE number 6248759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The non linear Schrödinger equation on a torus |
scientific article; zbMATH DE number 6248759 |
Statements
21 January 2014
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cubic Schrödinger equation
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quasi-periodic solutions
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integrable nornal forms
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non-degeneracy
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Cayley graph
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degenerate resonant graphs
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The non linear Schrödinger equation on a torus (English)
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The paper deals with the construction of quasi-periodic solutions for the cubic Schrödinger equation on the torus NEWLINE\[NEWLINE-i u_t+\Delta u=\kappa u^3.NEWLINE\]NEWLINE The author presents the three steps in which this construction is performed, namely the construction of integrable normal forms, the proof of non-degeneracy of the normal form, and the quasi-Töplitz property and the KAM algorithm.
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