Results 21 to 30 of about 1,434 (182)

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

Meromorphic solutions of nonlinear ordinary differential equations [PDF]

, 2010
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan, Assas, Bateman, Benney, Berloff, Billingham, Burgers, Cohen, Cole, Dai, Drazin, Eremenko, Fu, Hopf, Inan, Kangalgil, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Köroglu, Li, Li, Nikolai A. Kudryashov, Parkes, Parkes, Salas, Sarma, Shang, Shkadov, Sivashinsky, Topper, Wang, Wazzan, Wen, Whitham, Yu, Zhang, Zhang, Zheng, Zhu   +52 more
core   +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

Exact solutions of time-fractional generalised Burgers–Fisher equation using generalised Kudryashov method

Pramana, 2020
In this article, we study the generalised Kudryashov method for the time fractional generalized Burgers-Fisher equation (GBF). Using traveling wave transformation, the time fractional GBF is transformed to nonlinear ordinary differential equation (ODE).
Ramya Selvaraj, Swaminathan Venkatraman, Durga Devi Ashok, Krishnakumar Krishnaraja   +3 more
openaire   +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

Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation

Complexity, 2020
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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