Solitons as invariant tori in the perturbed nonlinear Schrödinger equation (Q1091534)
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scientific article; zbMATH DE number 4011023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solitons as invariant tori in the perturbed nonlinear Schrödinger equation |
scientific article; zbMATH DE number 4011023 |
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Solitons as invariant tori in the perturbed nonlinear Schrödinger equation (English)
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1986
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Stabilities of a bound state of nonlinear Schrödinger solitons are studied in the presence of some Hamiltonian perturbations by means of numerical and perturbational methods. Behaviours of perturbed solitons are explained by perturbed Hamiltonians and finite-dimensional properties of solitons are found to be preserved for small Hamiltonian perturbations.
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invariant tori
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bound state
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nonlinear Schrödinger solitons
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Hamiltonian perturbations
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perturbational methods
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perturbed solitons
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