Results 11 to 20 of about 11,583,195 (198)

The modified generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Schrödinger type

open access: yesResults in Physics, 2023
This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
doaj   +2 more sources

The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

open access: yesResults in Physics, 2017
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud   +2 more
doaj   +3 more sources

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

open access: yesMathematical Sciences and Applications E-Notes, 2018
In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to two nonlinear fractional differential equations.
EGE, Serife Muge, MİSİRLİ, Emine
openaire   +4 more sources

Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

open access: yesSymmetry, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a ...
Adem Kılıçman   +1 more
exaly   +2 more sources

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

open access: yesJournal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj   +2 more sources

Application of Kudryashov Method to Some Equations Used in Physics Science [PDF]

open access: yesErzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In this study, Kudryashov Method is used to find the wave solutions of the Gardner equation, fifth order Caudrey-Dodd-Gibbon equation and Sawada-Kotera equation, which are non-linear partial differential equations used as a mathematical model in the physics science field and engineering applications.
Yıldız, Güldem, Türkmen, Çiğdem
openaire   +4 more sources

Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]

open access: yesNonlinear Analysis, 2012
In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
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 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

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

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