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
doaj +7 more sources
Results in Physics, 2017 In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud +2 more
doaj +7 more sources
Results in Physics, 2023 This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
doaj +5 more sources
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
doaj +5 more sources
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
doaj +5 more sources
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
doaj +4 more sources
The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method [PDF]
Optical and Quantum Electronics, 2021 Abstract This research article is dedicated to applying the generalized Kudryashov method in order to acquire new exact and soliton-type solutions of the conformable Burgers' equation and Wu-Zhang system with conformable derivative.
Melike Kaplan, Arzu Akbulut
exaly +5 more sources
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
doaj +2 more sources
Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]
Scientific ReportsThis 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
Results 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 ...
Abdullah Shāh +2 more
exaly +4 more sources