Double-flat-top half-vortices and self-bound solitary wave billiards in cubic-quintic media with intermodal attraction
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909979587379200 |
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| author | Zezyulin, Dmitry A. |
| author_facet | Zezyulin, Dmitry A. |
| contents | We consider a bimodal light field envelope propagating in a bulk medium characterized by competing cubic and quintic nonlinearities. The subfields are coupled by a cross-phase modulation term and experience effective attraction. We find dynamically stable stationary states which have two distinct flat-top regions with different intensities. These solutions represent half-vortices, where the first and second components are essentially different and, in particular, carry different topological charges: zero for one component and nonzero for the other. The typical propagation of an unstable half-vortex leads to the splitting of the central vortex core into several fragments which quasielastically interact with the boundary of the flat-top region. This behavior is interpreted as a self-bound solitary wave billiard, where the emerging fragments are the billiard balls and the flat-top region is the dynamically deforming table. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05763 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double-flat-top half-vortices and self-bound solitary wave billiards in cubic-quintic media with intermodal attraction Zezyulin, Dmitry A. Optics Pattern Formation and Solitons We consider a bimodal light field envelope propagating in a bulk medium characterized by competing cubic and quintic nonlinearities. The subfields are coupled by a cross-phase modulation term and experience effective attraction. We find dynamically stable stationary states which have two distinct flat-top regions with different intensities. These solutions represent half-vortices, where the first and second components are essentially different and, in particular, carry different topological charges: zero for one component and nonzero for the other. The typical propagation of an unstable half-vortex leads to the splitting of the central vortex core into several fragments which quasielastically interact with the boundary of the flat-top region. This behavior is interpreted as a self-bound solitary wave billiard, where the emerging fragments are the billiard balls and the flat-top region is the dynamically deforming table. |
| title | Double-flat-top half-vortices and self-bound solitary wave billiards in cubic-quintic media with intermodal attraction |
| topic | Optics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2512.05763 |