Results 161 to 170 of about 1,434 (182)

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

Nonlinear Dynamics, 2018
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Gaber, A. A., Aljohani, A. F., Ebaid, A., Machado, J. Tenreiro   +3 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
openaire   +2 more sources

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, BULUT, HASAN, Tuluce Demiray, Seyma   +2 more
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A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations

AIP Conference Proceedings, 2017
Nonlinear evolution equation (NLEE) systems model the most essential topics in nonlinear sciences. Exact solutions of these equations play a major role in the suitable understanding of mechanisms of the various physical phenomena modelled by these NLEEs.
Koparan, Murat, Kaplan, Melike, Bekir, Ahmet, Güner, Özkan   +3 more
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Exact solutions of nonlinear Schrödinger’s equation by using generalized Kudryashov method

AIP Conference Proceedings, 2015
In this paper, a new version of generalized Kudryashov method is used to examine the exact solutions of cubic nonlinear Schrodinger’s equation (NLS). By using the traveling wave transformation, the NLS equations can be turned into the nonlinear ordinary differential equation.
Yusuf Pandir, Abdullah Sonmezoglu, Hasan Huseyin Duzgun, Nail Turhan   +3 more
openaire   +1 more source

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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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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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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Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Physica Scripta
Abstract We take into account the nonlinear complex generalized Zakharov dynamical system which models the spread of the Langmuir waves in ionized plasma, in the conformal sense in this manuscript. Fractional wave transformation is enforced to convert the nonlinear fractional system to a nonlinear ordinary differential equation system ...
Aydin Secer, Mustafa Bayram, Neslihan Ozdemir, Ismail Onder, Handenur Esen, Melih Cinar, Huseyin Aydin   +6 more
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Applications of generalized Kudryashov method to non linear evolution equations

AIP Conference Proceedings, 2022
Monika Jangra, Sajid Murtaza, Rajeev P. Bhanot   +2 more
openaire   +1 more source