Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods [PDF]
Applied 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
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Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]
Abstract 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
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Application of the generalized Kudryashov method to the Eckhaus equation [PDF]
Nonlinear 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
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Kudryashov Expansion Method Applied to Fisher Mathematical Model
Advances in Mathematical PhysicsWe obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical
Elif Deniz Öztürk +2 more
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Kudryashov method for exact solutions of isothermal magnetostatic atmospheres [PDF]
Iranian 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
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Lump and breather interaction with different soliton solutions for the generalized doubly dispersive equation by embedded the neural networks [PDF]
Scientific ReportsIn this study, we present the neural networks generalized Kudryashov (NNGK) method for the first time to explore exact solutions of the generalized doubly dispersive equation.
Muhammad Qasim +6 more
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Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method [PDF]
Symmetry, 2021 The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the exp(−φ(ζ)) expansion method and Addendum to ...
Hammad Alotaibi
exaly +3 more sources
Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method
Results 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
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A study on the compatibility of the generalized Kudryashov method to determine wave solutions
Propulsion 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
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Nonlinear 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.
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