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Nonlinear Dynamics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmed A Gaber +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmed A Gaber +2 more
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Exact Solutions of Conformable Differential Equations Using Generalized Kudryashov Method
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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Applications of generalized Kudryashov method to non linear evolution equations
AIP Conference Proceedings, 2022Monika Jangra +2 more
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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 +6 more
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Exact solutions of nonlinear Schrödinger’s equation by using generalized Kudryashov method
AIP Conference Proceedings, 2015In 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 +3 more
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Optical soliton perturbation with fractional temporal evolution by generalized Kudryashov's method
Optik, 2018Abstract 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 +6 more
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Physica Scripta, 2020
Abstract This paper is devoted to improving the general Kudryashov method by a new and general auxiliary equation. So, a new method is introduced, which we call ‘the general improved Kudryashov method’, to produce exact solutions for nonlinear evolution equations arising in mathematical physics.
Abd-Allah Hyder, M A Barakat
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Abstract This paper is devoted to improving the general Kudryashov method by a new and general auxiliary equation. So, a new method is introduced, which we call ‘the general improved Kudryashov method’, to produce exact solutions for nonlinear evolution equations arising in mathematical physics.
Abd-Allah Hyder, M A Barakat
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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 +4 more
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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 +4 more
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AIP Conference Proceedings, 2014
In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-
Seyma Tuluce Demiray +2 more
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In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-
Seyma Tuluce Demiray +2 more
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Application of Generalized Kudryashov Method to the Burger Equation
International Journal of Mathematics Trends and Technology, 2016Rafiqul Islam, Harun-Or Roshid
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