Results 161 to 170 of about 3,928 (199)

Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
Abstract In this work, the Kudryashov method is handled to find exact solutions of nonlinear fractional partial differential equations in the sense of the modified Riemann–Liouville derivative as given by Guy Jumarie. Firstly, these fractional equations can be turned into another nonlinear ordinary differential equations by fractional ...
Bekir, Ahmet, Aksoy, Esin, ÇEVİKEL, Adem Cengiz   +2 more
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Optical solitons of M-fractional nonlinear Schrödinger’s complex hyperbolic model by generalized Kudryashov method

Optical and Quantum Electronics, 2023
In this paper, the new optical wave solutions to the truncated M-fractional (2 + 1)-dimensional non-linear Schrodinger's complex hyperbolic model by utilizing the generalized Kudryashov method are obtained. The obtained solutions are in the form of trigonometric, hyperbolic and mixed form.
Hamali, Waleed, Manafian, Jalil, Lakestani, Mehrdad, Mahnashi, Ali M., Bekir, Ahmet   +4 more
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Exact Solutions of Conformable Differential Equations Using Generalized Kudryashov Method

2021
Lineer olmayan conformable diferensiyel denklemler matematiksel fizikte önemli bir yere sahiptir. Bu denklemlerin tam çözümlerinin elde edilmesi, son yıllarda oldukça ilgi çeken bir çalışma alanı olarak karşımıza çıkmaktadır. Bu makalede, conformable üçüncü mertebeden modifiye KdV denklemi ve conformable Boussinesq denkleminin tam çözümleri ...
AKBULUT, Arzu, KAPLAN, Melike
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations

Optical and Quantum Electronics, 2018
In the paper, the modified Kudryashov method is applied to find new exact solutions for the generalized Schrodinger–Boussinesq equation with the help of symbolic computation package Maple through the complex transform. The obtained solutions have been checked by substituting back into its corresponding equation with the aid of Maple package program.
Dipankar Kumar, Melike Kaplan
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Optical soliton perturbation with fractional temporal evolution by generalized Kudryashov's method

Optik, 2018
Abstract This paper retrieves optical soliton solutions with fractional temporal evolution by the aid of generalized Kudryashov's method. There are four types of nonlinear fibers that are studied here. Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons are also presented.
Anjan Biswas, Abdullah Sonmezoglu, Mehmet Ekici, Mohammad Mirzazadeh, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +6 more
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OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD

Fractals
In this paper, our focus lies in exploring the Kudryashov auxiliary equation method as a means to derive several exact solutions to a conformable nonlinear Schrödinger equation. This particular model combines Kudryashov’s arbitrary refractive index alongside two various non-local nonlinearity.
MUHAMMAD AMIN SADIQ MURAD, WAQAS ALI FARIDI, ADIL JHANGEER, MUJAHID IQBAL, MUBARIZ GARAYEV   +4 more
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Soliton wave solutions for the nonlinear transmission line using the Kudryashov method and the -expansion method

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hubert, Malwe Boudoue, Betchewe, Gambo, Doka, Serge Y., Timoleon Crepin, Kofane   +3 more
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A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation

Mathematical Methods in the Applied Sciences, 2013
Summary: On the basis of the F-expansion method with a new sub-equation and Exp-function method, an improved F-expansion method is introduced. As illustrative examples, the exact solutions expressed by exponential function, hyperbolic function of Kudryashov-Sinelshchikov equation for abitrary \(\alpha\), \(\beta\) are derived. Some previous results are
He, Yinghui, Li, Shaolin, Long, Yao
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Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method

Optical and Quantum Electronics, 2017
This paper presents a number of new solutions obtained for solving the Fitzhugh–Nagumo model via the Kudryashov method. The merit of the presented method is finding the further solutions of the considering problems including soliton, periodic, kink, kink-singular wave solutions.
Mohammadreza Foroutan, Jalil Manafian, Hamed Taghipour-Farshi   +2 more
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Supplementary optical solitonic expressions for Gerdjikov–Ivanov equations with three Kudryashov-based methods

Communications in Theoretical Physics
Abstract The present manuscript uses three Kudryashov-based methods to analytically inspect the class of Gerdjikov–Ivanov equations, which comprises the standard Gerdjikov–Ivanov equation and the perturbed Gerdjikov–Ivanov equation. Various optical solitonic solutions have been constructed. Certainly, as the reported solitonic structures
Althrwi, F. A., Alshaery, A. A., Bakodah, H. O., Nuruddeen, Rahmatullah Ibrahim   +3 more
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