Results 91 to 100 of about 284 (125)
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The modified Kudryashov method for solving some evolution equations
AIP Conference Proceedings, 2012The traveling wave solutions of nonlinear evolution equations have important role in many fields of applied sciences. In this study, we dwell upon the (2+1) dimensional Nizhnik-Nokikov-Veselov system and the modified Kudryashov method is used to construct traveling wave solutions.
Ege, Serife Muge, Misirli, Emine
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On the investigation of chiral solitons via modified new Kudryashov method
International Journal of Geometric Methods in Modern Physics, 2023Purpose: This study includes the examination of the cases where the [Formula: see text]-dimensional chiral nonlinear Schrödinger equation also has Bohm potential. This review is not to obtain different soliton solutions for both cases but to obtain a certain type of soliton and to observe the effect of the problem parameters.
Muslum Ozisik +2 more
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Soliton solutions of Wu-Zhang system by generalized Kudryashov method
AIP Conference Proceedings, 2018In 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 +2 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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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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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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Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method
Physica Scripta, 2020Abstract This 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-
H M Srivastava +6 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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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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