dorsal/arxiv
View SchemaChaotic behaviour of nonlinear waves and solitons of perturbed Korteweg - de Vries equation
| Authors | K. B. Blyuss |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9904001 |
| URL | https://arxiv.org/abs/patt-sol/9904001 |
| DOI | 10.1016/S0034-4877(01)80007-0 |
| Journal | Reports on Mathematical Physics, 2000, vol. 46, pp. 47-54 |
Abstract
This paper considers properties of nonlinear waves and solitons of Korteweg-de Vries equation in the presence of external perturbation. For time-periodic hamiltonian perturbation the width of the stochastic layer is calculated. The conclusions about chaotic behaviour in long-period waves and solitons are inferred. Obtained theoretical results find experimental confirmation in experiments with the propagation of ion-acoustic waves in plasma.
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"abstract": "This paper considers properties of nonlinear waves and solitons of\nKorteweg-de Vries equation in the presence of external perturbation. For\ntime-periodic hamiltonian perturbation the width of the stochastic layer is\ncalculated. The conclusions about chaotic behaviour in long-period waves and\nsolitons are inferred. Obtained theoretical results find experimental\nconfirmation in experiments with the propagation of ion-acoustic waves in\nplasma.",
"arxiv_id": "patt-sol/9904001",
"authors": [
"K. B. Blyuss"
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"categories": [
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"doi": "10.1016/S0034-4877(01)80007-0",
"journal_ref": "Reports on Mathematical Physics, 2000, vol. 46, pp. 47-54",
"title": "Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg - de Vries equation",
"url": "https://arxiv.org/abs/patt-sol/9904001"
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