Results 11 to 20 of about 10,990,470 (194)
Results 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
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Results 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
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Extended Kudryashov Method for Fractional Nonlinear Differential Equations
Mathematical 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
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The modified Kudryashov method for solving some fractional-order nonlinear equations [PDF]
Advances in Difference Equations, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ege, Serife Muge, Misirli, Emine
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Application of Kudryashov Method to Some Equations Used in Physics Science [PDF]
Erzincan 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
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Journal 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
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Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]
Nonlinear 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
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
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 +2 more
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F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation [PDF]
Journal of Applied Mathematics, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg−Whitham equation [PDF]
Scientific ReportsComplex 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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