Results 1 to 10 of about 284 (125)

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

Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2014
In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.
Seyma Tuluce Demiray   +2 more
doaj   +3 more sources

Kudryashov method for exact solutions of isothermal magnetostatic atmospheres [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2016
The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation.
Nematollah Kadkhoda, Hossein Jafari
doaj   +2 more sources

Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

open access: yesResults in Physics, 2021
The Boussinesq equation simulates weakly nonlinear and long wave approximation that can be used in water waves, coastal engineering, and numerical models for water wave simulation in harbors and shallow seas.
M. Ali Akbar   +7 more
doaj   +2 more sources

A study on the compatibility of the generalized Kudryashov method to determine wave solutions

open access: yesPropulsion and Power Research, 2021
In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant ...
Hemonta Kumar Barman   +2 more
doaj   +2 more sources

Application of the generalized Kudryashov method to the Eckhaus equation

open access: yesNonlinear Analysis, 2016
In this paper, the generalized Kudryashov method is presented to seek exact solutions of the Eckhaus equation. From these solutions, we can derive solitary wave solutions as a special case.
Ahmed H. Arnous, Mohammad Mirzazadeh
doaj   +4 more sources

Application of Kudryashov and functional variable methods to the strain wave equation in microstructured solids

open access: yesNonlinear Engineering, 2017
The aim of this paper is to obtain the exact solutions of the strain wave equation applied for illustrating wave propagation in microstructured solids.
Ayati Z., Hosseini K., Mirzazadeh M.
doaj   +2 more sources

Sub-10-fs-pulse propagation between analytical and numerical investigation

open access: yesResults in Physics, 2021
This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater   +6 more
doaj   +1 more source

Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

open access: yesResults in Physics, 2021
In this paper, we looked into the generalized third-order nonlinear Schrödinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers.
Sandeep Malik   +3 more
doaj   +1 more source

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