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Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method
Physica Scripta, 2020This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. This model can be used to distribute light from a main fiber into one or more branch fibers. Two forms of optical couplers are considered, namely the twin- and multiple- core couplers.
H M Srivastava +6 more
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A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations
AIP Conference Proceedings, 2017Nonlinear 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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Optik, 2021
Abstract This paper enumerates optical soliton solutions in magneto-optic waveguides with perturbation terms. Cubic-quartic coupled system of NLSE with Kudryashov's sextic power of refractive index is discussed. The addendum to Kudryashov's method is applied. Combo bright-singular solitons, bright solitons and singular solitons are given.
Elsayed M.E. Zayed +2 more
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Abstract This paper enumerates optical soliton solutions in magneto-optic waveguides with perturbation terms. Cubic-quartic coupled system of NLSE with Kudryashov's sextic power of refractive index is discussed. The addendum to Kudryashov's method is applied. Combo bright-singular solitons, bright solitons and singular solitons are given.
Elsayed M.E. Zayed +2 more
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Application of Kudryashov method for high-order nonlinear Schrödinger equation
Indian Journal of Physics, 2013Higher-order nonlinear Schrodinger equation for describing the propagation of femtosecond pulses in optical fibers is studied. Kudryashov method is used for obtaining exact soliton solutions of this equation.
N Taghizadeh +2 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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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 +2 more
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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 +2 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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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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Exact Solutions of Conformable Differential Equations Using Generalized Kudryashov Method
2021Lineer 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, 2018In 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, 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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