Browsing by Author "Bayram, Mustafa"
Now showing items 1-20 of 89
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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 ... -
Analysis of the fractional differential equations using two different methods
Partohaghighi, Mohammad; Akgül, Ali; Akgül, Esra Karataş; Attia, Nourhane; De la Sen, Manuel; Bayram, Mustafa (MDPI, 2023)Abstract: Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining the numerical solutions of fractional differential equation. In the current work, ... -
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 ... -
Analytical solutions of (2+1) - dimensional calogero - bogoyavlenskii - schiff equation in fluid mechanics/plasma physics using the new kudryashov method
Melih, Çınar; Aydın, Seçer; Bayram, Mustafa (Institute of Physics Publishing, 2022)Abstract. This study investigates various analytic soliton solutions of the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation in fluid dynamics and plasma physics using a recently introduced ... -
The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh method
Çınar, Melih; Önder, İsmail; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Bayram, Mustafa; Aydın, Hüseyin (IOP Publishing, 2021)In this study, we investigate the nonlinear Zoomeron equation by using the extended rational sin − cos and sinh − cosh methods. We successfully constructed some important solutions such as singular periodic wave, periodic ... -
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 ... -
Approximate and exact solutions in the sense of conformable derivatives of quantum mechanics models using a novel algorithm
Liaqat, Muhammad Imran); Akgül, Ali; De la Sen, Manuel; Bayram, Mustafa (MDPI, 2023)Abstract The entirety of the information regarding a subatomic particle is encoded in a wave function. Solving quantum mechanical models (QMMs) means finding the quantum mechanical wave function. Therefore, great attention ... -
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 ... -
Attitude of the modulation instability gain in oppositely directed coupler with the effects of the intrapulse raman scattering and saturable function
Houwe, Alphonse; Abbagari, Souleymanou; Saliou, Youssoufa; İnç, Mustafa; Doka, Serge Yamigno; Bouetou, Thomas B.; Bayram, Mustafa (Elsevier, 12.2021)To establish the effects of the Higher-Order Dispersion (HOD) and Raman Scattering (RS) on ModulationInstability (MI) in the presence of the Saturable Function (SF), it is used the Coupled Nonlinear SchrödingerEquation ... -
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), ... -
Breather wave, lump - periodic solutions and some other interaction phenomena to the Caudrey – Dodd – Gibbon equation
Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; İnç, Mustafa; Bayram, Mustafa (Springer Nature Switzerland, 12.07.2020)Hirota’s bilinear method is used in this paper to obtain some breather wave and lumps solutions to the Caudrey–Dodd–Gibbon equation through the symbolic Mathematica 12 package. This equation is converted into its potential ... -
Chebyshev differential quadrature for numerical solutions of third- and fourth-order singular perturbation problems
Yiğit, Gülsemay; Bayram, Mustafa (Springer, 2019)In this paper, linear and nonlinear singularly perturbed problems are studied by a numerical approach based on polynomial differential quadrature. The weighting coefficient matrix is acquired using Chebyshev polynomials. ... -
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 ... -
Construction of multi-wave complexiton solutions of the kadomtsev-petviashvili equation via two efficient analyzing techniques
Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Khalil, Eied Mahmoud; Bayram, Mustafa; Ahmad, Hijaz (Elsevier, 02.2021)This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov's method. Multi-waves solutions and exponential function ... -
Construction of novel bright-dark solitons and breather waves of unstable nonlinear schrodinger equations with applications
Sarwar, Ambreen; Arshad, Muhammad; Farman, Muhammad; Akgül, Ali; Ahmed, Iftikhar; Bayram, Mustafa; Rezapour, Shahram; De la Sen, Manuel (MDPI, 2023)Abstract: The unstable nonlinear Schrödinger equations (UNLSEs) are universal equations of the class of nonlinear integrable systems, which reveal the temporal changing of disruption in slightly stable and unstable media. ... -
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 ...
