Browsing by Author "Seçer, Aydın"
Now showing items 1-20 of 69
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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 ... -
An algorithm for numerical solution of some nonlinear multi dimensional parabolic partial differential equations [formula presented]
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (Elsevier, 11.2021)In this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method, is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method is ... -
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 ... -
An application of genocchi wavelets for solving the fractional rosenau hyman equation
Çınar, Melih; Seçer, Aydın; Bayram, Mustafa (Elsevier, 12.2021)In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman or K(n,n) equation arising in the formation ... -
The asymptotic behavior of solutions of discrete nonlinear fractional equations
Bayram, Mustafa; Seçer, Aydın; Adıgüzel, Hakan (Walter de Gruyter, 10.2020)In this study, we consider a class of nonlinear fractional difference equa- tions following form: Delta (a(t) g(Delta(alpha)x(t))) + F (t, Sigma(s+t0) (t-1+alpha) (t - s - 1)((-alpha)) x (s) ) =0, where t is an element of ... -
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 ... -
Comparative analysis for the nonlinear mathematical equation with new wave structures
Önder, İsmail; Çınar, Melih; Seçer, Aydın; Yusuf, Abdullahi; Bayram, Mustafa; Sulaiman, Tukur Abdulkadir (Springer Nature, 2022)Abstract In this work, we aim to derive various soliton solutions to the Wazwaz–Benjamin–Bona–Mahony equation with conformable and M-truncated derivatives. The considered equation models long waves in the ocean engineering ... -
A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator
Çınar, Melih; Önder, İsmail; Seçer, Aydın; Bayram, Mustafa; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir (American Mathematical Society, 2022)This paper considers deriving new exact solutions of a nonlinear complex generalized Zakharov dynamical system for two different definitions of derivative operators called conformable and M− truncated. The system models ... -
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 ... -
Dispersive optical solitons of Biswas–Arshed equation with a couple of novel approaches
Özışık, Mazlum; Seçer, Aydın; Bayram, Mustafa (Elsevier, 09.2022)Purpose: The importance of efficient analytical methods in solving nonlinear partial differential equations and nonlinear optical differential equations cannot be underestimated. Because of this importance, to solve ... -
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 ... -
Extraction of soliton waves from the longitudinal wave equation with local M-truncated derivatives
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (Springer, 2023)Abstract We have extracted some soliton solutions of the fractional longitudinal wave equation with the M-truncated derivative (M-LWE), which emerges in a magneto electro-elastic circular rod. To obtain new results of ... -
The generalized gegenbauer - humberts wavelet for solving fractional differential equations
Alkhalissi, Jumana H. S.; Emiroğlu, İbrahim; Seçer, Aydın; Bayram, Mustafa (Society of Thermal Engineers of Serbia, 2020)In this paper we present a new method of wavelets, based on generalized Gegenbauer-Humberts polynomials, named generalized Gegenbauer-Humberts wavelets. The operational matrix of integration are derived. By using the ... -
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 ...
