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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.18290 |
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| _version_ | 1866912084084654080 |
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| author | Khawaja, U. Al Alotaibi, M. O. D. Sakkaf, L. Al |
| author_facet | Khawaja, U. Al Alotaibi, M. O. D. Sakkaf, L. Al |
| contents | We investigate the interaction between two flat-top solitons within the cubic-quintic nonlinear Schrödinger equation framework. Our study results point towards a significant departure of flat-top solitons collisional characteristics from the conventional behaviors exhibited in the scattering dynamics of two bright solitons. Our investigation outlines specific regimes corresponding to the dual flat-top solitons' elastic and inelastic collisions. We determine regimes in the parameter space where exchange in the widths of the interacting flat-top solitons is possible, even within the elastic collision domain. We find a periodic occurrence of completely elastic scattering of flat-top solitons in terms of the solitons' parameters. Investigating the internal energy transfers between the solitons and the emitted radiation reveals the origin of inelasticity in flat-top solitons collisions. We perform a variational calculation that accounts for the amount of radiation produced by the collision and hence provides further insight on the physics underlying the loss of elasticity of collisions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Elastic and Inelastic Scattering of Flat-Top Solitons Khawaja, U. Al Alotaibi, M. O. D. Sakkaf, L. Al Pattern Formation and Solitons We investigate the interaction between two flat-top solitons within the cubic-quintic nonlinear Schrödinger equation framework. Our study results point towards a significant departure of flat-top solitons collisional characteristics from the conventional behaviors exhibited in the scattering dynamics of two bright solitons. Our investigation outlines specific regimes corresponding to the dual flat-top solitons' elastic and inelastic collisions. We determine regimes in the parameter space where exchange in the widths of the interacting flat-top solitons is possible, even within the elastic collision domain. We find a periodic occurrence of completely elastic scattering of flat-top solitons in terms of the solitons' parameters. Investigating the internal energy transfers between the solitons and the emitted radiation reveals the origin of inelasticity in flat-top solitons collisions. We perform a variational calculation that accounts for the amount of radiation produced by the collision and hence provides further insight on the physics underlying the loss of elasticity of collisions. |
| title | Elastic and Inelastic Scattering of Flat-Top Solitons |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2410.18290 |