Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]
Sci RepIqbal M +7 more
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Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]
Sci ProgElsaid Ramadan M +4 more
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Highly dispersive optical solitons using Kudryashov's method
Optik, 2019Abstract This work is about highly dispersive optical solitons with Kerr law, quadratic-cubic law and non-local nonlinearities. The Kudryashov's method implemented in this paper to find the unique optical closed form of solutions. The method under consideration is consistent, effectual and can be used to establish new exact solitons of different ...
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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 ...
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Application of new Kudryashov method to various nonlinear partial differential equations
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Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods
Optical and Quantum Electronics, 2021This article is concerned with analyzing exact optical soliton solutions to Kudryashov’s model. To this end, the sine-Gordon expansion and Kudryashov methods are exerted and a bunch of new optical soliton solutions is acquired. The implementation and algebraic methods are discussed in detail.
Khalid K. Ali +4 more
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Dispersive optical solitons by Kudryashov's method
Optik, 2014Abstract This paper studies the dynamics of dispersive optical solitions that is modeled by the fourth order nonlinear Schrodinger's equation and Schrodinger–Hirota equation, the latter of which is considered with power law nonlinearity. Kudryashov's method is applied to obtain soliton solutions to the model equations.
M. Mirzazadeh, M. Eslami, Anjan Biswas
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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.
Misirli, Emine, Ege, Serife Muge
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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.
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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.
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