Results 21 to 30 of about 454 (184)

Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg−Whitham equation [PDF]

Scientific Reports
Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This research employs the fractal Euler−Lagrange and semi-inverse methods to derive the nonlinear space–time fractal Fornberg–Whitham equation.
A. Nazari-Golshan
doaj   +2 more sources

Exact solitary wave solution for the fractional and classical GEW-Burgers equations: an application of Kudryashov method

Journal of Taibah University for Science, 2018
The fractional partial differential equations have wide applications in science and engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact solution of both fractional generalized equal width (GEW)-Burgers and classical GEW-
R. I. Nuruddeen, Aminu M. Nass
doaj   +2 more sources

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

Journal of the Egyptian Mathematical Society, 2017
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Khaled A Gepreel, Taher A Nofal
exaly   +3 more sources

Soliton Dynamics of the Nonlinear Kodama Equation with M-Truncated Derivative via Two Innovative Schemes: The Generalized Arnous Method and the Kudryashov Method

Fractal and Fractional
The primary aim of this research article is to investigate the soliton dynamics of the M-truncated derivative nonlinear Kodama equation, which is useful for optical solitons on nonlinear media, shallow water waves over complex media, nonlocal internal ...
Khizar Farooq, Ali. H. Tedjani, Zhao Li, Ejaz Hussain   +3 more
doaj   +2 more sources

Resonant soliton molecules, asymmetric solitons and the other diverse wave solutions to the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation for liquid with gas bubbles

Results in Physics
Under the present study, we focus on developing some exact solutions of the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation (KSE) for the liquid with gas bubbles.
Peng Xu, Huan Huang, Chun Shan, Kang-Jia Wang   +3 more
doaj   +2 more sources

Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

Results in Physics, 2021
In this paper, we looked into the generalized third-order nonlinear Schrödinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers.
Sandeep Malik, Sachin Kumar, Kottakkaran Sooppy Nisar, C. Ahamed Saleel   +3 more
doaj   +1 more source

Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

Journal of Mathematics, 2023
In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity. Using a traveling wave transformation, the GKE is transformed into a nonlinear second order ordinary differential equation (ODE).
Rajagopalan Ramaswamy, E. S. El-Shazly, M. S. Abdel Latif, Amr Elsonbaty, A. H. Abdel Kader   +4 more
openaire   +2 more sources

Sub-10-fs-pulse propagation between analytical and numerical investigation

Results in Physics, 2021
This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater, S.K. Elagan, A.A. Mousa, M.A. El-Shorbagy, S.H. Alfalqi, J.F. Alzaidi, Dianchen Lu   +6 more
doaj   +1 more source

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