Symmetry restoration in collisions of solitons in fractional couplers
Article
| Article Title | Symmetry restoration in collisions of solitons in fractional couplers |
|---|---|
| ERA Journal ID | 43 |
| Article Category | Article |
| Authors | Strunin, Dmitry V., Malomed, Boris A. and McKeiver, Joshua L. |
| Journal Title | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
| Number of Pages | 11 |
| Year | 2024 |
| Publisher | Cambridge University Press |
| Place of Publication | United Kingdom |
| ISSN | 1446-1811 |
| 1446-8735 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1017/S1446181124000245 |
| Web Address (URL) | https://www.cambridge.org/core/journals/anziam-journal/article/symmetry-restoration-in-collisions-of-solitons-in-fractional-couplers/E1F0158D344A43928FB6DB7CC950C4C5 |
| Abstract | Recently, we analysed spontaneous symmetry breaking (SSB) of solitons in linearly coupled dual-core waveguides with fractional diffraction and cubic nonlinearity. In a practical context, the system can serve as a model for optical waveguides with the fractional diffraction or Bose–Einstein condensate of particles with Lévy index α < 2. In an earlier study, the SSB in the fractional coupler was identified as the bifurcation of subcritical type, becoming extremely subcritical in the limit of α → 1. There, the moving solitons and collisions between them at low speeds were also explored. In the present paper, we present new numerical results |
| Keywords | fractional diffraction; nonlinear Schrödinger equation; coupled waveguides; fractional derivatives; Lévy index; spontaneous symmetry breaking; subcritical bifurcation; Bose–Einstein condensates |
| Contains Sensitive Content | Does not contain sensitive content |
| ANZSRC Field of Research 2020 | 490199. Applied mathematics not elsewhere classified |
| Byline Affiliations | School of Mathematics, Physics and Computing |
| Tel Aviv University, Israel |
https://research.usq.edu.au/item/zqzxy/symmetry-restoration-in-collisions-of-solitons-in-fractional-couplers
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