dorsal/arxiv
View SchemaA Potential of Incoherent Attraction Between Multidimensional Solitons
| Authors | Andrey Maimistov, Boris Malomed, Anton Desyatnikov |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9812009 |
| URL | https://arxiv.org/abs/patt-sol/9812009 |
| DOI | 10.1016/S0375-9601(99)00148-6 |
Abstract
We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by cross-phase modulation. The derivation is based on calculation of the interaction term in the full Hamiltonian of the system. An essential peculiarity is that, in the 3D case, as well as in the case of 2D solitons with unequal masses, the main contribution to the interaction potential originates from a vicinity of one or both solitons, similarly to what was recently found in the 2D and 3D single-mode systems, while in the case of identical 2D solitons, the dominating area covers all the space between the solitons. Unlike the single-mode systems,_stable_ bound states of mutually orbiting solitons are shown to be possible in the bimodal system.
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"abstract": "We obtain analytical expressions for an effective potential of interaction\nbetween two- and three-dimensional (2D and 3D) solitons (including the case of\n2D vortex solitons) belonging to two different modes which are incoherently\ncoupled by cross-phase modulation. The derivation is based on calculation of\nthe interaction term in the full Hamiltonian of the system. An essential\npeculiarity is that, in the 3D case, as well as in the case of 2D solitons with\nunequal masses, the main contribution to the interaction potential originates\nfrom a vicinity of one or both solitons, similarly to what was recently found\nin the 2D and 3D single-mode systems, while in the case of identical 2D\nsolitons, the dominating area covers all the space between the solitons. Unlike\nthe single-mode systems,_stable_ bound states of mutually orbiting solitons are\nshown to be possible in the bimodal system.",
"arxiv_id": "patt-sol/9812009",
"authors": [
"Andrey Maimistov",
"Boris Malomed",
"Anton Desyatnikov"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0375-9601(99)00148-6",
"title": "A Potential of Incoherent Attraction Between Multidimensional Solitons",
"url": "https://arxiv.org/abs/patt-sol/9812009"
},
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