Results 161 to 170 of about 10,990,470 (194)

Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations

In this article, with the help of the new Kudryashov method, we examine general solutions to the (2+1)-dimensional Sawada-Kotera equation (SKE) and Kaup-Kupershmidt (KK) equation. Using Maple, a symbolic computing application, it was shown that all obtained solutions are given by hyperbolic, exponential and logaritmic function solutions which obtained ...
TAŞCAN, FİLİZ, Aydn, Zeynep
openaire   +3 more sources

Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

Symmetry, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a ...
Adem Kiliçman, Rathinavel Silambarasan   +1 more
exaly   +2 more sources

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Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods

Optical and Quantum Electronics, 2021
This 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, Ali Zabihi, Hadi Rezazadeh, Reza Ansari, Mustafa Inc   +4 more
openaire   +1 more source

New exact solutions of the conformable time-fractional Cahn–Allen and Cahn–Hilliard equations using the modified Kudryashov method

Optik, 2017
Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn-Allen and Cahn-Hilliard equations in the context of the conformable fractional derivative.
Ahmet Bekir, Reza Ansari
exaly   +2 more sources

Application of new Kudryashov method to various nonlinear partial differential equations

Optical and Quantum Electronics, 2022
M S Hashemi, M S Osman, Sandeep Malik
exaly   +2 more sources

Dispersive optical solitons by Kudryashov's method

Optik, 2014
Abstract 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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On the investigation of chiral solitons via modified new Kudryashov method

International Journal of Geometric Methods in Modern Physics, 2023
Purpose: 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, Aydin Secer, Mustafa Bayram   +2 more
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Exact Solutions of Nonlinear Partial Differential Equations Using the Extended Kudryashov Method and Some Properties

Symmetry, 2023
In this paper, we consider how to find new exact solutions for nonlinear partial differential equations using the extended Kudryashov method. This method mainly uses the Riccati equation and the Bernoulli equation where there are some underdetermined ...
Jian Zhou, Shiyin Zhao, Yufeng Zhang, Long Ju   +3 more
exaly   +2 more sources

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, Kaplan, Melike, Bekir, Ahmet, GÜNER, ÖZKAN   +3 more
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Addendum to Kudryashov's method for finding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov's sextic power law of refractive index

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, Khaled A. Gepreel, Mohamed E.M. Alngar   +2 more
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