Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 23Citation - Scopus: 23The Generalized Sasa-Satsuma Equation and Its Optical Solitons(Springer, 2022) Hosseini, K.; Sadri, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Inc, MustafaThe principal goal of the presented paper is to investigate the dynamics of optical solitons for the generalized Sasa-Satsuma (GSS) equation describing the propagation of the femtosecond pulses in the systems of optical fiber transmission. More precisely, the governing model, which is a generalized version of the classical Sasa-Satsuma equation, is firstly reduced in a one-dimensional real regime through a specific transformation; then, its bright and dark optical solitons are established using the modified Kudryashov (MK) method. The changes in the amplitude of the bright and dark solitons are analyzed as a case study for various classes of free parameters. Considerable changes are observed in the optical solitons amplitude from the results presented in the current study.Article Citation - WoS: 10Citation - Scopus: 9Bright, Dark, and Singular Optical Soliton Solutions for Perturbed Gerdjikov-Ivanov Equation(Vinca inst Nuclear Sci, 2021) Inc, Mustafa; Baleanu, Dumitru; Kumar, Sunil; Ulutas, Esma; Mustafa, I.N.C.This study consider Gerdjikov-Ivanov equation where the perturbation terms appear with full non-linearity. The Jacobi elliptic function ansatz method is implemented to obtain exact solutions of this equation that models pulse dynamics in optical fibers. It is retrieved some bright, dark optical and singular solitons profile in the limiting cases of the Jacobi elliptic functions. The constraint conditions depending on the parameters for the existence of solitons are also presented.Article Citation - WoS: 7Citation - Scopus: 9Solitons and Complexitons To the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Model(World Scientific Publ Co Pte Ltd, 2019) Li, Yongjin; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; Aliyu, Aliyu IsaThis paper investigates the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified F-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.Article Citation - WoS: 24Citation - Scopus: 24Exact Optical Solitons of the Perturbed Nonlinear Schrodinger-Hirota Equation With Kerr Law Nonlinearity in Nonlinear Fiber Optics(de Gruyter Poland Sp Z O O, 2020) Abbagari, Souleymanou; Betchewe, Gambo; Inc, Mustafa; Doka, Serge Y.; Crepin, Kofane Timoleon; Almohsen, Bandar; Houwe, AlphonseThis article studies dark, bright, trigonometric and rational optical soliton solutions to the perturbed nonlinear Schrodinger-Hirota equation (PNLSHE). Hence, we have examined two cases: first, restrictions have been done to the third-order (TOD) (gamma) as constraint relation, and the coupling coefficients (sigma) is obtained as well as the velocity of the soliton by adopting the traveling wave hypothesis. Second, the TOD and the coupling coefficients are non-zero value, sending back to the PNLSHE, which has been studied in refs. [4,10,16] recently. By employing two relevant integration technics such as the auxiliary equation and the modified auxiliary equation method, miscellaneous optical solitary wave is obtianed, which is in agreement with the outcomes collected by the previous studies [4,16]. These results help in obtaining nonlinear optical fibers in the future.Article Citation - WoS: 51Citation - Scopus: 56Optical Solitons for Complex Ginzburg-Landau Model in Nonlinear Optics(Elsevier Gmbh, Urban & Fischer verlag, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis paper studies the complex Ginzburg-Landau equation (CGLE) which models soliton propagation in the presence of detuning factor in nonlinear optics. Dark, bright, dark-singular and a new dark-bright optical soliton solutions to the model are derived using the sine-Gordon equation method (SGEM). Singular soliton solutions are also celebrated. The model is studied with Kerr law, quadratic-cubic law and parabolic laws nonlinear fibers. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the CGLE. (C) 2017 Elsevier GmbH. All rights reserved.Article Citation - WoS: 19Citation - Scopus: 18Optical Solitons for the Kundu-Eckhaus Equation With Time Dependent Coefficient(Elsevier Gmbh, Urban & Fischer verlag, 2018) Baleanu, Dumitru; Inc, MustafaThe first integral method (FIM) is applied to get the different type optical solitons of Kundu-Eckhaus equation (KE). A class of optical solitons of this equation is presented, and some of which are acquired for the first time. Constraint conditions guarantees existence of these solitons. It is illustrated that FIM is very effective method to reach the various type of the soliton solutions. (C) 2018 Elsevier GmbH. All rights reserved.Article Citation - WoS: 40Citation - Scopus: 48Dispersive Optical Solitons and Modulation Instability Analysis of Schrodinger-Hirota Equation With Spatio-Temporal Dispersion and Kerr Law Nonlinearity(Academic Press Ltd- Elsevier Science Ltd, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis paper obtains the dark, bright, dark-bright or combined optical and singular solitons to the perturbed nonlinear Schrodinger-Hirota equation (SHE) with spatio-temporal dispersion (STD) and Kerr law nonlinearity in optical fibers. The integration algorithm is the Sine-Gordon equation method (SGEM). Furthermore, the modulation instability analysis (MI) of the equation is studied based on the standard linear-stability analysis and the MI gain spectrum is got. (C) 2017 Elsevier Ltd. All rights reserved.Article Citation - WoS: 46Citation - Scopus: 49Optical Solitons To the Resonance Nonlinear Schrodinger Equation by Sine-Gordon Equation Method(Academic Press Ltd- Elsevier Science Ltd, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaIn this paper, we examined the optical solitons to the resonant nonlinear Schrodinger equation (R-NLSE) which describes the propagation of solitons through optical fibers. Three types of nonlinear media fibers are studied. They are; quadratic-cubic law, Kerr law and parabolic law. Dark, bright, dark-bright or combined optical and singular soliton solutions are derived using the sine-Gordon equation method (SGEM). The constraint conditions that naturally fall out of the solution structure which guarantee the existence of these solitons are also reported. (C) 2017 Elsevier Ltd. All rights reserved.Article Citation - WoS: 44Citation - Scopus: 49Optical Solitons for Biswas-Milovic Model in Nonlinear Optics by Sine-Gordon Equation Method(Elsevier Gmbh, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis article studies the dynamics of optical solitons to the Biswas-Milovic equation (BME) which describes the dynamics of optical solitons in generalized form. There are four types of nonlinear fibers studied in this paper. They are quadratic-cubic, Kerr and Parabolic laws. The integration algorithm adopted is the Sine-Gordon equation method (SGEM). Dark, bright and dark-singular optical solitons are derived. Complex singular solitons are also reported. The obtained results have important applications in the study of solitons in optical fibers. (C) 2017 Elsevier GmbH. All rights reserved.Article Citation - WoS: 11Citation - Scopus: 12Optical Solitons and Stability Analysis in Ring-Cavity Fiber System With Carbon Nanotube as Saturable Absorber(Iop Publishing Ltd, 2018) Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru; Aliyu, Aliyu IsaThis paper addresses the ring-cavity fiber laser system. A class of gray and black soliton solutions of the model are reported by adopting an appropriate envelope ansatz. Further more, the modulation instability (MI) of the equation is studied using the linear-stability analysis (LSA) technique and the MI gain spectrum is derived. Some physical interpretations and analysis of the results obtained are also presented.