Results 161 to 170 of about 454 (184)
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 +3 more
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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 +4 more
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Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method
Optik, 2021Abstract In this article, the closed form general and standard solutions accessible in the literature of nonlinear evolution equation (NLEE), namely, the Fokas-Lenells (FL) equation is established by using the generalized Kudryashov approach. The implemented method extracts lots of new and compatible wave solutions involving unknown parameters and ...
Hemonta Kumar Barman +2 more
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A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics
Nonlinear Dynamics, 2016Nonlinear evolution equations form the most fundamental theme in mathematical physics. The search for exact solutions of nonlinear equations has been of interest in recent years. In this paper, we obtain exact solutions of the nonlinear Jaulent–Miodek hierarchy and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation by using the generalized ...
Melike Kaplan +2 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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Nonlinear Dynamics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Gaber +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Gaber +2 more
exaly +2 more sources
Physica ScriptaAbstract 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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