Browsing by Author "Özışık, Müslüm"
Now showing items 1-20 of 47
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(3+1)-dimensional Sasa–Satsuma equation under the effect of group velocity dispersion, self-frequency shift and self-steepening
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Elsevier, 2023)Abstract Purpose: The aim of this study is to examine the effects of the coefficients of group velocity dispersion, self-frequency shift and self-steepening terms on the optical solitons of the (3+1)-dimensional Sasa–Satsuma ... -
Acquiring the solitons of inhomogeneous Murnaghan’s rod using extended Kudryashov method with Bernoulli–Riccati approach
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi (World Scientific, 2022)Abstract. In this scientific work, we explore the solutions of an important mathematical model appearing in the nonlinear elastic inhomogeneous Murnaghan's rod (NEIMR) or called doubly dispersive equation (DDE) with a ... -
Analytical soliton solutions of the higher order cubic-quintic nonlinear Schrödinger equation and the influence of the model's parameters
Handenur, Esen; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (American Institute of Physics, 2022)Abstract. In this paper, we present the higher-order nonlinear Schrödinger equation (NLSE) with third order dispersion (3OD), fourth-order dispersion (4OD), and cubic-quintic nonlinearity (CQNL) terms that define the ... -
The bell-shaped perturbed dispersive optical solitons of Biswas–Arshed equation using the new Kudryashov’s approach
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Elsevier, 10.2022)Purpose: This study aimed to examine the effects of the parameters, the group velocity dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the third-order spatio-temporal dispersion (TO-STD), ... -
Bright soliton structure of Perturbed Schrödinger-Hirota equation with cubic-quintic-septic law of self-phase modulation
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm (Biruni Üniversitesi, 2023)Abstract: This study aims to peruse the optical soliton solutions of the perturbed Schrödinger-Hirota equation with cubic-quintic-septic law of self-phase modulation via the generalized Kudryashov scheme. Additionally, we ... -
The complex cubic-quintic ginzburg-landau equation having anti-cubic law nonlinearity and ıts optical solitons
Çınar, Melih; Çakıcıoğlu, Hasan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (Biruni Üniversitesi, 2023)Abstract: This research investigates optical soliton solutions for the complex cubic-quintic Ginzburg-Landau equation having anti-cubic law nonlinearity which models the wave propagation in optical fibers. The study deals ... -
Dark, bright and singular optical solutions of the Kaup–Newell model with two analytical integration schemes
Esen, Handenur; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (Elsevier, 07.2022)We have searched for optical solutions of Kaup–Newell equation (KNE) used in nonlinear optical and plasma physics, which have a very important role in the class of derivative nonlinear Schrödinger equations (dNLSEs). To ... -
Discovering optical soliton solutions in the Biswas-Milovic equation through five innovative approaches
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Elsevier, 2023)stract Purpose: In recent years, depending on the development of models containing highly dispersive nonlinear equations, especially in the field of nonlinear optics, it has been important to obtain the solutions of these ... -
An encyclopedia of Kudryashov’s integrability approaches applicable to optoelectronic devices
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa; Aydın, Hüseyin (Elsevier, 2022)Purpose: In the last decades, many researchers have performed their best in order to find the solution of the nonlinear evolution equations, nonlinear partial differential equations (NLPDEs), fractional nonlinear partial ... -
Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity
Önder, İsmail; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (Elsevier, 2023)We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers. ... -
Investigation of optical soliton solutions of higher-order nonlinear Schrödinger equation having Kudryashov nonlinear refractive index
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa; Çınar, Melih; Özdemir, Neslihan; Esen, Handenur; Önder, İsmail (Elsevier, 2023)Abstract Purpose: In this paper, optical solitons of higher-order nonlinear Schrödinger equation with Kudryashov's sextic power-law of nonlinear refractive index are investigated via the direct mapping method. The considered ... -
Kink soliton dynamic of the (2+1)-dimensional integro-differential Jaulent-Miodek equation via a couple of integration techniques
Çakıcıoğlu, Hasan; Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (MDPI, 2023)Abstract In this article, the aim was to obtain kink soliton solutions of the (2+1)-dimensional integro-differential Jaulent-Miodek equation (IDJME), which is a prominent model related to energydependent Schrodinger ... -
Obtaining optical soliton solutions of the cubic–quartic Fokas–Lenells equation via three different analytical methods
Önder, İsmail; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (Springer, 12.2022)In this study, we have focused on fnding soliton solutions of the cubic–quartic Fokas– Lenells equation, which models the nonlinear pulse transmission through optical fber, is a pretty new and updated model. The main ... -
Obtaining soliton solutions of the nonlinear (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via two analytical techniques
Esen, Handenur; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (World Scientific Publishing, 2023)Abstract This paper tackles the recently introduced (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (4D-BLMPE) utilized to model wave phenomena in incompressible fluid and fluid mechanics. Modified extended tanh ... -
Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (Elsevier, 2023)In this research paper, the generalized projective Riccati equations method (GPREM) is applied successfully to procure the soliton solutions of the local M-fractional longitudinal wave equation (LWE) arising in mathematical ... -
On solitary wave solutions for the extended nonlinear Schrodinger equation via the modified F-expansion method
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Springer, 2023)Abstract Because the importance of the optical wave propagation in fibers, we seek for the optical travelling wave solutions and effect of the third-order dispersion parameter for the extended nonlinear Schrodinger equation ... -
On solitary wave solutions for the extended nonlinear Schrödinger equation via the modifed F‑expansion method
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Springer Nature, 2023)Because the importance of the optical wave propagation in fbers, we seek for the optical travelling wave solutions and efect of the third-order dispersion parameter for the extended nonlinear Schrödinger equation (NLSE) ... -
On solitary wave solutions for the extended nonlinear Schrödinger equation via the modifed F‑expansion method
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Springer, 2023)Because the importance of the optical wave propagation in fbers, we seek for the optical travelling wave solutions and efect of the third-order dispersion parameter for the extended nonlinear Schrödinger equation (NLSE) ... -
On solitary wave solutions for the extended nonlinear Schrödinger equation via the modifed F‑expansion method
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Springer, 2023)Abstract Because the importance of the optical wave propagation in fibers, we seek for the optical travelling wave solutions and effect of the third-order dispersion parameter for the extended nonlinear Schrodinger equation ... -
On solitary wave solutions for the extended nonlinear Schrödinger equation via the modified F-expansion method
Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa (Springer Nature, 2023)Abstract Because the importance of the optical wave propagation in fbers, we seek for the optical travelling wave solutions and efect of the third-order dispersion parameter for the extended nonlinear Schrödinger equation ...
