Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term (Q1565997)
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scientific article; zbMATH DE number 1921167
| Language | Label | Description | Also known as |
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| English | Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term |
scientific article; zbMATH DE number 1921167 |
Statements
Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term (English)
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8 February 2004
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The authors develop a semi-discretized nonlinear Schrödinger equation with a non-local nonlinear term. It is proved that for each mesh size there exist attractors for the discretized system. A number of theorems and propositions is presented and numerical experiments are performed for illustration.
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attractors
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NLS equation
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plasma modulation
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semidiscretization
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nonlinear Schrödinger equation
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numerical experiments
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