Knot soliton solutions for the one-dimensional non-linear Schr\'{o}dinger equation
| Autor: | R., Rahul O., Murugesh, S. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We identify that for a broad range of parameters a variant of the soliton solution of the one-dimensional non-linear Schr\"{odinger} equation, the {\it breather}, is distinct when one studies the associated space curve (or soliton surface), which in this case is knotted. The signi ficance of these solutions with such a hidden non-trivial topological element is pre-eminent on two counts: it is a one-dimensional model, and the no nlinear Schr\"{o}dinger equation is well known as a model for a variety of physical systems. Comment: 5 pages, 2 figures, and 3 animation |
| Databáze: | arXiv |
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