Results 11 to 20 of about 132,714,206 (184)
Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]
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 +2 more
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Application of the generalized Kudryashov method to the Eckhaus equation [PDF]
Nonlinear Analysis, 2016 In this paper, the generalized Kudryashov method is presented to seek exact solutions of the Eckhaus equation. From these solutions, we can derive solitary wave solutions as a special case.
Ahmed H. Arnous, Mohammad Mirzazadeh
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Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]
Serbian Journal of Electrical Engineering, 2016 The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed +1 more
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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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Soliton solutions of Wu-Zhang system by generalized Kudryashov method
AIP Conference Proceedings, 2018 In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system. Also, we remark results that we found by using this method.
ÇELİK, Ercan +2 more
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Revista Mexicana de Física, 2020 In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
Gurefe, Yusuf
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Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]
Symmetry, 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
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SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions.
Gaber, Ahmed A., Ahmad, Hijaz
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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 +3 more
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Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics [PDF]
Symmetry, 2023 In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics. Specifically, our focus centers on obtaining novel exact solutions for three pivotal equations: the time-fractional seventh-order Sawada-Kotera-Ito equation, the time ...
Ekici, Mustafa, Mustafa Ekici
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