Results 11 to 20 of about 2,041 (188)

Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods

open access: yesApplied Sciences, 2022
This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air.
Sidra Ghazanfar   +5 more
doaj   +6 more sources

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

open access: yesJournal of the Egyptian Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gepreel, Khaled A.   +2 more
semanticscholar   +5 more sources

The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs

open access: yesAIMS Mathematics, 2019
Dans ce travail, nous construisons des solutions d'ondes progressives de forme fermée pour certaines équations d'évolution non linéaires (NLEE) associées à la physique mathématique. Ce travail met en œuvre la méthode généralisée bien établie de Kudryashov (gKM) pour calculer de nouvelles solutions d'ondes progressives de forme fermée pour l'équation de
Mustafa Habib   +3 more
openaire   +3 more sources

The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

open access: yesRevista Mexicana de Física, 2020
In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
Y. Gurefe
openaire   +2 more sources

Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

open access: yesResults in Physics, 2021
In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law ...
Rezazadeh, Hadi   +6 more
openaire   +5 more sources

Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

open access: yesIğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found.
Yusuf PANDIR, Sahragül EREN
openaire   +4 more sources

On the dynamics of exact solutions to a (3+1)-dimensional YTSF equation emerging in shallow sea waves: Lie symmetry analysis and generalized Kudryashov method

open access: yesResults in Physics, 2023
This paper focuses on obtaining a large number of exact solutions to the highly nonlinear (3+1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid dynamics, plasma physics, nonlinear sciences, and weakly dispersive media, among other things. The primary goal of this research is to obtain a variety of exact soliton solutions
Sachin Kumar   +2 more
openaire   +3 more sources

The Generalized Kudryashov Method: a Renewed Mechanism for Performing Exact Solitary Wave Solutions of Some NLEEs

open access: yesJOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019
The present study deals with the applicability and effectiveness of the algorithm of generalized Kudryashov method (GKM), which is one of the most workable methods to constitute the exact traveling wave solutions of non-linear evolution equations (NLEEs)
M. M. Rahman
openaire   +2 more sources

APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

open access: yesEskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
In this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple.
Zeynep Aydın, Filiz Taşcan
openaire   +3 more sources

Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]

open access: yesScientific Reports
This study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek   +3 more
doaj   +2 more sources

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