المؤلفون: Noha M. Kamel, Hamdy M. Ahmed, Wafaa B. Rabie

المصدر: Results in Physics, Vol 54, Iss , Pp 107160- (2023)

مصطلحات موضوعية: Optical solitons, Femtosecond light pulse, Dual power law nonlinearity, ϕ6expansion method, Physics, QC1-999

الوصف: New exact solutions for the perturbation higher order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity are investigated using the ϕ6 expansion method. This type of NLSE models the propagation of femtosecond pulses in fiber optics which has many applications such as infrared time-resolved spectroscopy, ultrahigh-bit-rate optical communication systems and ultrafast optics. The application of ϕ6 expansion technique provided many different types of solutions. Dark solitons, bright solitons, singular solitons, hyperbolic solutions, periodic and singular periodic solutions are obtained. The graphical representations of some selected solutions are provided to present both the dynamical behavior of solutions and the effect of changing the nonlinearity degree on their dynamical behavior. This study concludes that the nonlinearity degree controls the dynamical behavior of the light pulse.

وصف الملف: electronic resource

العلاقة: http://www.sciencedirect.com/science/article/pii/S2211379723009531Test; https://doaj.org/toc/2211-3797Test

الوصول الحر: https://doaj.org/article/e9a034ea15794b3a8ae12617f1fe9930Test

المؤلفون: Sameh Mostafa, Reda El-Barkouky, Hamdy M. Ahmed, Islam Samir

المصدر: Results in Physics, Vol 52, Iss , Pp 106760- (2023)

مصطلحات موضوعية: Optical solitons, NLSE, Dual-power law non-linearity, Improved modified extended tanh function technique, Physics, QC1-999

الوصف: This context focuses on examining the manner in which localized waves travel through a non-linear medium that adheres to a dual-power law. This medium encompasses a range of disruptions like inter modal dispersion, self frequency shift, and self-steepening effects. This investigation entails employing an improved modified extended tanh function (IMETF) technique to obtain various novel optical soliton solutions which include bright, dark, singular and combo singular-dark solitons. Furthermore, we extract singular periodic, exponential, rational, and Weierstrass elliptic solutions. To showcase their physical characteristics, we provide graphical representations in 3D and 2D of some of the derived solutions.

وصف الملف: electronic resource

العلاقة: http://www.sciencedirect.com/science/article/pii/S2211379723005533Test; https://doaj.org/toc/2211-3797Test

الوصول الحر: https://doaj.org/article/851d47d11da645729fae429b4f833c21Test

المؤلفون: Emad H.M. Zahran, Ahmet Bekir, Maged F. Alotaibi, Mohamed Omri, Hijaz Ahmed

المصدر: Results in Physics, Vol 29, Iss , Pp 104730- (2021)

مصطلحات موضوعية: The BBMBE with dual power-law nonlinearity, The PPAM, The RBSODM, The travelling wave solutions, The numerical solutions, Physics, QC1-999

الوصف: From point of view of this work, we will establish a novelty impressive behavior to the traveling wave solutions to the Benjamin-Bona-Mahony-Burgers equation (BBMBE) with dual power-law nonlinearity which is stretch to the Korteweg-de Varies equation but has more advantages compared with it. The traveling wave solutions of this equation have been achieved for the first time in the framework of two different techniques namely the Paul-Painleve approach method (PPAM) and the Riccati-Bernoulli Sub-ODE method (RBSODM). Furthermore, the corresponding numerical solutions for all achieved exact solutions via the above two methods will be documented in the framework of the variational iteration method.

وصف الملف: electronic resource

العلاقة: http://www.sciencedirect.com/science/article/pii/S2211379721008020Test; https://doaj.org/toc/2211-3797Test

الوصول الحر: https://doaj.org/article/0c272498904545b0920c48ae7ac98b14Test

المؤلفون: Usman Younas, Jingli Ren

المصدر: Results in Physics, Vol 21, Iss , Pp 103816- (2021)

مصطلحات موضوعية: Solitons, Quadratic–cubic nonlinearity, Generalized elliptic equation, EFSE method, Dual-power law, Physics, QC1-999

الوصف: This paper deals the propagation of waves through magneto-optic waveguides which are modeled by the generalized vector nonlinear Schrodinger’s equation (NLSE). Two types of nonlinearities namely quadratic-cubic (QC) and dual-power laws are studied by implementing authentic mathematical technique called extended Fan-sub equation (EFSE) method. We secure the exact solutions in the forms of Jacobi’s elliptic functions, trigonometric, hyperbolic, including solitary wave solutions like bright, dark, complex, singular, and mixed complex solitons. Moreover, singular periodic wave solutions are recovered and the constraint conditions for valid soliton solutions are also reported. We also discuss the modulation instability (MI) analysis of the governing models. 3D and their corresponding 2D graphs are sketched for better understanding about the derived solutions with the values of unknown parameters. The most significant achievement of this approach is that it offers all the solutions that can be found by the use of other methods such as processes using the Riccati equation, an elliptic equation of the first kind, an auxiliary ordinary equation, or the generalized Riccati equation as mapping equation as well as we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied integration technique is concise, direct, efficient, and can be applied in more complex phenomena with the assistant of symbolic computations.

وصف الملف: electronic resource

العلاقة: http://www.sciencedirect.com/science/article/pii/S2211379721000036Test; https://doaj.org/toc/2211-3797Test

الوصول الحر: https://doaj.org/article/5940890402a64462b615cd56225064d9Test

المؤلفون: Ahmet Bekir, Hijaz Ahmed, Emad H. M. Zahran, Maged F. Alotaibi, Mohamed Omri

المصدر: Results in Physics, Vol 29, Iss, Pp 104730-(2021)

مصطلحات موضوعية: Work (thermodynamics), Physics, QC1-999, Mathematics::Analysis of PDEs, General Physics and Astronomy, The BBMBE with dual power-law nonlinearity, The travelling wave solutions, Dual (category theory), Burgers' equation, Nonlinear system, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Variational iteration method, Benjamin bona mahony, Applied mathematics, The PPAM, The numerical solutions, Power law nonlinearity, Point (geometry), The RBSODM, Mathematics

الوصف: From point of view of this work, we will establish a novelty impressive behavior to the traveling wave solutions to the Benjamin-Bona-Mahony-Burgers equation (BBMBE) with dual power-law nonlinearity which is stretch to the Korteweg-de Varies equation but has more advantages compared with it. The traveling wave solutions of this equation have been achieved for the first time in the framework of two different techniques namely the Paul-Painleve approach method (PPAM) and the Riccati-Bernoulli Sub-ODE method (RBSODM). Furthermore, the corresponding numerical solutions for all achieved exact solutions via the above two methods will be documented in the framework of the variational iteration method.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0193cb712289aece818bd6ae7f2de59cTest
https://doi.org/10.1016/j.rinp.2021.104730Test

المؤلفون: Biswas, Anjan, Triki, Houria, Zhou, Qin, Moshokoa, Seithuti P., Ullah, Malik Zaka, Belic, Milivoj

المساهمون: Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı., orcid:0000-0003-4732-5753, orcid:0000-0003-4443-3337, Yıldırım, Yakup, Yaşar, Emrullah, HTO-9875-2023, AAG-9947-2021, 56988856400, 23471031300

مصطلحات موضوعية: Optical solitons, Perturbed nonlinear Schrodinger's equation, Trial equation, Different nonlinearities, Traveling-wave solutions, Conservation-laws, Control nonlinearities, Nonlinear equations, Schrodinger equation, Solitons, Dual-power laws, Integration scheme, Non-linear fiber, Periodic solution, Singular soliton solutions, Trial equation methods, Materials science, multidisciplinary, Optics, Physics, applied, Darkness, Media Law

الوصف: This paper obtains optical soliton solution to perturbed nonlinear SchrOdinger's equation by trial equation approach. There are nine types of nonlinear fibers studied in this paper. They are Kerr-law, power-law, quadratic-cubic law, parabolic-law, dual-power law, log-law, anti-cubic law, cubic-quintic-septic law and triple-power law. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also fall out of the integration scheme. ; National Science Foundation for Young Scientists of Wuhan Donghu University ; Department of Mathematics and Statistics at Tshwane University of Technology ; South African National Foundation (92052 IRF1202210126) ; Qatar National Research Fund (QNRF) (NPRP 6-021-1-005)

العلاقة: Makale - Uluslararası Hakemli Dergi; Journal of Optoelectronics and Advanced Materials; Yurt dışı; Biswas, A. vd. (2018). ''Optical soliton perturbation with full nonlinearity in polarization preserving fibers using trial equation method''. Journal of Optoelectronics and Advanced Materials, 20(7-8), 385-402.; https://www.sciencedirect.com/science/article/pii/S0030402617317278Test; https://hdl.handle.net/11452/40087Test; 000446873200006; 2-s2.0-85054874242; 385; 402; 20; 7-8; https://doi.org/10.1016/j.ijleo.2017.12.099Test

الإتاحة: https://doi.org/10.1016/j.ijleo.2017.12.099Test
https://hdl.handle.net/11452/40087Test
https://www.sciencedirect.com/science/article/pii/S0030402617317278Test