Results 11 to 20 of about 132,765,175 (196)

Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]

open access: yesSymmetry, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov method for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical ...
Rathinavel Silambarasan, Adem Kilicman
openaire   +4 more sources

The modified Kudryashov method for solving some fractional-order nonlinear equations [PDF]

open access: yesAdvances in Difference Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ege, Serife Muge, Misirli, Emine
openaire   +5 more sources

Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method

open access: yesIğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this paper, we propose the extended modified Kudryashov method (EMKM) for solving the Biswas-Milovic equation and Gerdjikov-Ivanov equation which are commonly special cases of Schrödinger equation in mathematical physics. We received many new extended traveling wave solutions when the special values of the parameters are taken for these equations ...
Şerife Müge EGE, Şerife Müge EGE
openaire   +4 more sources

Soliton Solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp -expansion function method

open access: yesRevista Mexicana de Física, 2021
This paper addresses the Heisenberg ferromagnetic spin chain equation with beta time derivative. Integration schemes are used to study this equation. They are generalized Kudryashov method and modified exp -expansion function method. Dark, bright and dark-bright soliton solutions of this equation are procured.
S. Tuluce Demiray, U. Bayrakci
openaire   +3 more sources

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

open access: yesJournal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol   +2 more
doaj   +2 more sources

Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method

open access: yesMathematics, 2021
This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity.
Noha M. Rasheed   +4 more
doaj   +2 more sources

New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]

open access: yesNonlinear 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   +2 more
doaj   +2 more sources

The Traveling Wave Solutions of Space-Time Fractional Partial Differential Equations by Modified Kudryashov Method

open access: yesJournal of Applied Mathematics and Physics, 2020
In this paper, the modified Kudryashov method is employed to find the traveling wave solutions of two well-known space-time fractional partial differential equations, namely the Zakharov Kuznetshov Benjamin Bona Mahony equation and Kolmogorov Petrovskii Piskunov equation, and as a helping tool, the sense of modified Riemann-Liouville derivative is also
Md. Mahfujur Rahman   +3 more
openaire   +3 more sources

On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method

open access: yesEuropean Journal of Science and Technology, 2023
This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since the investigated equation and method are recently introduced and not much works has been done, the ...
Ramazan TEKERCİOĞLU   +1 more
openaire   +3 more sources

Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2016
The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation.
S. Saha Ray, S. Sahoo
doaj   +2 more sources

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