Symmetry restoration in collisions of solitons in fractional couplers
Article
Strunin, Dmitry V., Malomed, Boris A. and McKeiver, Joshua L.. 2025. "Symmetry restoration in collisions of solitons in fractional couplers." Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 67, pp. 1-11. https://doi.org/10.1017/S1446181124000245
| 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 |
| Journal Citation | 67, pp. 1-11 |
| Article Number | e7 |
| Number of Pages | 11 |
| Year | 2025 |
| 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 |
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