Elastic and inelastic scattering of flat-top solitons
| dc.contributor.author | Al Khawaja, U. | |
| dc.contributor.author | Alotaibi, M. O. D. | |
| dc.contributor.author | Al Sakkaf, L. | |
| dc.date.accessioned | 2025-09-15T05:24:53Z | |
| dc.date.available | 2025-09-15T05:24:53Z | |
| dc.date.issued | 2024-10 | |
| dc.description | The most interesting and appealing feature of solitons is that their integrity is preserved while propagating and after scattering with each other [1–4]. Such a unique feature suggests there may be a plethora of applications for solitons [5–8]. Within this context, bright solitons of the fundamental nonlinear Schrödinger equation (NLSE) have been investigated extensively [1–3]. | |
| dc.description.abstract | 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 soliton collisions. We perform a variational calculation that accounts for the amount of radiation produced by the collision and hence provides further insight into the physics underlying the loss of elasticity of collisions. Keywords Flat-top solitons, cubic-quintic nonlinear Schrödinger equation, elastic collisions, inelastic scattering, variational analysis | |
| dc.identifier.citation | Khawaja, U. A., Alotaibi, M. O. D., & Sakkaf, L. A. (2024). Elastic and inelastic scattering of flat-top solitons. Physical Review E, 110(4), 044215. | |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevE.110.044215 | |
| dc.identifier.uri | https://repository.adu.ac.ae/handle/1/7451 | |
| dc.language.iso | en | |
| dc.publisher | American Physical Society | |
| dc.title | Elastic and inelastic scattering of flat-top solitons | |
| dc.type | Article |