dc.contributor.author | Bayındır, Cihan | |
dc.contributor.author | Ozaydin, Fatih | |
dc.contributor.author | Altintas, Azmi Ali | |
dc.date.accessioned | 2021-12-10T10:49:29Z | |
dc.date.available | 2021-12-10T10:49:29Z | |
dc.identifier.citation | Bayındır C., Altintas A. A. , Ozaydin F., "Self-localized solitons of a q-deformed quantum system", COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.92, 2021 | |
dc.identifier.issn | 1007-5704 | |
dc.identifier.other | vv_1032021 | |
dc.identifier.other | av_56746641-703d-432a-bf33-9d432215b5ab | |
dc.identifier.uri | http://hdl.handle.net/20.500.12627/170645 | |
dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2020.105474 | |
dc.identifier.uri | https://avesis.istanbul.edu.tr/api/publication/56746641-703d-432a-bf33-9d432215b5ab/file | |
dc.description.abstract | Beyond a pure mathematical interest, q-deformation is promising for the modeling and interpretation of various physical phenomena. In this paper, we numerically investigate the existence and properties of the self-localized soliton solutions of the nonlinear Schrodinger equation (NLSE) with a q-deformed Rosen-Morse potential. By implementing a Petviashvili method (PM), we obtain the self-localized one and two soliton solutions of the NLSE with a q-deformed Rosen-Morse potential. In order to investigate the temporal behavior and stabilities of these solitons, we implement a Fourier spectral method with a 4th order Runge-Kutta time integrator. We observe that the self-localized one and two solitons are stable and remain bounded with a pulsating behavior and minor changes in the sidelobes of the soliton waveform. Additionally, we investigate the stability and robustness of these solitons under noisy perturbations. A sinusoidal monochromatic wave field modeled within the frame of the NLSE with a q-deformed Rosen-Morse potential turns into a chaotic wavefield and exhibits rogue oscillations due to modulation instability triggered by noise, however, the self-localized solitons of the NLSE with a q-deformed Rosen-Morse potential are stable and robust under the effect of noise. We also show that soliton profiles can be reconstructed after a denoising process performed using a Savitzky-Golay filter. (C) 2020 Elsevier B.V. All rights reserved. | |
dc.language.iso | eng | |
dc.subject | Fizik | |
dc.subject | FİZİK, MATEMATİK | |
dc.subject | Bilgisayar Bilimleri | |
dc.subject | Gazlar, Plazmalar ve Elektriksel Boşalmalar Fiziği | |
dc.subject | Genel Fizik | |
dc.subject | Temel Bilimler | |
dc.subject | Mühendislik ve Teknoloji | |
dc.subject | Analysis | |
dc.subject | Applied Mathematics | |
dc.subject | General Engineering | |
dc.subject | Algebra and Number Theory | |
dc.subject | Numerical Analysis | |
dc.subject | Computational Mathematics | |
dc.subject | Mathematics (miscellaneous) | |
dc.subject | Engineering (miscellaneous) | |
dc.subject | Modeling and Simulation | |
dc.subject | Mühendislik, Bilişim ve Teknoloji (ENG) | |
dc.subject | Computational Theory and Mathematics | |
dc.subject | Mathematical Physics | |
dc.subject | Physical Sciences | |
dc.subject | General Mathematics | |
dc.subject | FİZİK, SIVI VE PLAZMALAR | |
dc.subject | Mühendislik | |
dc.subject | MEKANİK | |
dc.subject | MATEMATİK, İNTERDİSKÜP UYGULAMALAR | |
dc.subject | Temel Bilimler (SCI) | |
dc.subject | Matematik | |
dc.subject | MATEMATİK, UYGULAMALI | |
dc.title | Self-localized solitons of a q-deformed quantum system | |
dc.type | Makale | |
dc.relation.journal | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | |
dc.contributor.department | İstanbul Teknik Üniversitesi , İnşaat , İnşaat Mühendisliği | |
dc.identifier.volume | 92 | |
dc.contributor.firstauthorID | 2736418 | |