Results 31 to 40 of about 12,188,241 (183)

New Solitary Wave Patterns of the Fokas System in Fiber Optics

Mathematics, 2023
The Fokas system, which models wave dynamics using a single model of fiber optics, is the design under discussion in this study. Different types of solitary wave solutions are obtained by utilizing generalized Kudryashov (GKP) and modified Kudryashov ...
Melike Kaplan, Arzu Akbulut, Rubayyi T. Alqahtani   +2 more
doaj   +1 more source

Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics

Journal of Ocean Engineering and Science, 2023
In the fields of oceanography, hydrodynamics, and marine engineering, many mathematicians and physicists are interested in Burgers-type equations to show the different dynamics of nonlinear wave phenomena, one of which is a (3+1)-dimensional Burgers ...
Sachin Kumar, Amit Kumar, Brij Mohan
doaj   +1 more source

Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise

Results in Physics, 2023
Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Nehad Ali Shah, Jae Dong Chung   +6 more
doaj   +1 more source

Novel Solutions of Perturbed Boussinesq Equation

Journal of Mathematical Sciences and Modelling, 2022
In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
doaj   +1 more source

New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

Entropy, 2015
In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
doaj   +1 more source

Soliton solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp(-Ω(η))-expansion function method

, 2021
This paper addresses the Heisenberg ferromagnetic spin chain equation with beta derivative. Initially, beta derivatives and their features are presented.
Demiray, S. Tuluce, Bayrakci, U., Tuluce Demiray, S.   +2 more
core   +2 more sources

Exact solutions of the generalized nonlinear Fokas-Lennells equation

Results in Physics, 2019
Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known that the standard Kudryashov method leads to singular combo optical
A. Ebaid, E.R. El-Zahar, A.F. Aljohani, Bashir Salah, Mohammed Krid, J.T. Machado   +5 more
doaj   +1 more source

Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

Alexandria Engineering Journal, 2023
In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator.
Sayed Saifullah, Nahid Fatima, Shaimaa A. M. Abdelmohsen, Meznah M. Alanazi, Shabir Ahmad, Dumitru Baleanu   +5 more
doaj   +1 more source

Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found.
Yusuf PANDIR, Sahragül EREN
openaire   +3 more sources

Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system

Results in Physics, 2021
The analytical solutions of the integrable generalized (2+1)-dimensional nonlinear conformable Schrödinger (NLCS) system of equations was explored in this paper with the aid of three novel techniques which consist of (G′/G)-expansion method, generalized ...
Lanre Akinyemi, Mehmet Şenol, Hadi Rezazadeh, Hijaz Ahmad, Hao Wang   +4 more
doaj   +1 more source