Symmetry-breaking bifurcations of pure-quartic solitons in dual-core couplers
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916407125475328 |
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| author | Li, Pengfei Dong, Liangliang Mihalache, Dumitru Malomed, Boris A. |
| author_facet | Li, Pengfei Dong, Liangliang Mihalache, Dumitru Malomed, Boris A. |
| contents | We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic solitons (PQSs) are found, and their stability domains are identified. The bifurcations for both the symmetric and antisymmetric PQSs are of the supercritical type (alias phase transitions of the second kind). Direct simulations of the perturbed evolution of PQSs corroborate their stability boundaries predicted by the analysis of small perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetry-breaking bifurcations of pure-quartic solitons in dual-core couplers Li, Pengfei Dong, Liangliang Mihalache, Dumitru Malomed, Boris A. Pattern Formation and Solitons We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic solitons (PQSs) are found, and their stability domains are identified. The bifurcations for both the symmetric and antisymmetric PQSs are of the supercritical type (alias phase transitions of the second kind). Direct simulations of the perturbed evolution of PQSs corroborate their stability boundaries predicted by the analysis of small perturbations. |
| title | Symmetry-breaking bifurcations of pure-quartic solitons in dual-core couplers |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2409.15062 |