Academic Journal
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation
| العنوان: | On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation |
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| المؤلفون: | Paredes Galán, Ángel, Salgueiro Piñeiro, José Ramón, Michinel Álvarez, Humberto Javier |
| بيانات النشر: | Physica D Nonlinear Phenomena Física aplicada Grupo de Ingeniería Física |
| سنة النشر: | 2022 |
| المجموعة: | University of Vigo: Investigo (Repositorio Institucional de la Universidade de Vigo) |
| مصطلحات موضوعية: | 2209.13 Óptica no Lineal |
| الوصف: | Financiado para publicación en acceso aberto: Universidade de Vigo/CISUG ; We study topologically charged propagation-invariant eigenstates of the 1+2-dimensional Schrödinger equation with a cubic (focusing)–quintic (defocusing) nonlinear term. First, we revisit the self-trapped vortex soliton solutions. Using a variational ansatz that allows us to describe the solutions as a liquid with a surface tension, we derive a simple formula relating the inner and outer radii of the bright vortex ring. Then, using numerical and variational techniques, we analyse dark soliton solutions for which the wave function density asymptotes to a non-vanishing value. We find an eigenvalue cutoff for the propagation constant that depends on the topological charge l. The variational profile provides simple and very accurate results for l ≥ 2. We also study the azimuthal stability of the eigenstates by a linear analysis finding that they are stable for all values of the propagation constant, at least for small l. ; Ministerio de Ciencia e Innovación | Ref. PID2020-118613GB-I00 ; Xunta de Galicia | Ref. ED431B 2021/22 |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 01672789 |
| Relation: | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118613GB-I00/ES; Physica D Nonlinear Phenomena, 437, 133340 (2022); http://hdl.handle.net/11093/4085; https://linkinghub.elsevier.com/retrieve/pii/S0167278922001105 |
| DOI: | 10.1016/j.physd.2022.133340 |
| الاتاحة: | http://hdl.handle.net/11093/4085 https://doi.org/10.1016/j.physd.2022.133340 https://linkinghub.elsevier.com/retrieve/pii/S0167278922001105 |
| Rights: | Attribution-NonCommercial-NoDerivatives 4.0 International ; https://creativecommons.org/licenses/by-nc-nd/4.0/ ; openAccess |
| رقم الانضمام: | edsbas.6B801436 |
| قاعدة البيانات: | BASE |
| تدمد: | 01672789 |
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| DOI: | 10.1016/j.physd.2022.133340 |