dorsal/arxiv
View SchemaA (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures
| Authors | R. Myrzakulov, S. Vijayalakshmi, G. N. Nugmanova, M. Lakshmanan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9704005 |
| URL | https://arxiv.org/abs/solv-int/9704005 |
| DOI | 10.1016/S0375-9601(97)00457-X |
| Journal | Physics Letters A, v.233, N4-6, 391-396 (1997) |
Abstract
A non-isospectral (2+1) dimensional integrable spin equation is investigated. It is shown that its geometrical and gauge equivalent counterparts is the (2+1) dimensional nonlinear Schr\"odinger equation introduced by Zakharov and studied recently by Strachan. Using a Hirota bilinearised form, line and curved soliton solutions are obtained. Using certain freedom (arbitrariness) in the solutions of the bilinearised equation, exponentially localized dromion-like solutions for the potential is found. Also, breaking soliton solutions (for the spin variables) of the shock wave type and algebraically localized nature are constructed.
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"abstract": "A non-isospectral (2+1) dimensional integrable spin equation is investigated.\nIt is shown that its geometrical and gauge equivalent counterparts is the (2+1)\ndimensional nonlinear Schr\\\"odinger equation introduced by Zakharov and studied\nrecently by Strachan. Using a Hirota bilinearised form, line and curved soliton\nsolutions are obtained. Using certain freedom (arbitrariness) in the solutions\nof the bilinearised equation, exponentially localized dromion-like solutions\nfor the potential is found. Also, breaking soliton solutions (for the spin\nvariables) of the shock wave type and algebraically localized nature are\nconstructed.",
"arxiv_id": "solv-int/9704005",
"authors": [
"R. Myrzakulov",
"S. Vijayalakshmi",
"G. N. Nugmanova",
"M. Lakshmanan"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(97)00457-X",
"journal_ref": "Physics Letters A, v.233, N4-6, 391-396 (1997)",
"title": "A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures",
"url": "https://arxiv.org/abs/solv-int/9704005"
},
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