Results 21 to 30 of about 2,041 (188)

A Modification of the Generalized Kudryashov Method for the System of Some Nonlinear Evolution Equations

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019
In this study, a comparatively new technique named the generalized Kudryashov method (gKM) has been effectively implemented to explore the exact traveling wave solutions to some nonlinear evolution equations (NLEEs) in the field of nonlinear science and ...
H. Ali
openaire   +3 more sources

Generalized Kudryashov Method for Time-Fractional Differential Equations

Abstract and Applied Analysis, 2014
In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.
Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut   +2 more
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations

Nonlinear Analysis, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed, Reham M.A. Shohib, Mohamed E.M. Alngar   +2 more
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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
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Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique

Results in Physics, 2021
The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of ...
Hemonta Kumar Barman, M. Ali Akbar, M.S. Osman, Kottakkaran Sooppy Nisar, M. Zakarya, Abdel-Haleem Abdel-Aty, Hichem Eleuch   +6 more
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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
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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
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The Functional Expansion Approach for Solving NPDEs as a Generalization of the Kudryashov and G′/G Methods

Symmetry, 2022
This paper presents the functional expansion approach as a generalized method for finding traveling wave solutions of various nonlinear partial differential equations. The approach can be seen as a combination of the Kudryashov and G′/G solving methods. It allowed the extension of the first method to the use of second order auxiliary equations, and, at
Carmen Ionescu, Corina N. Babalic, Radu Constantinescu, Raluca Efrem   +3 more
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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
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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
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