Results 11 to 20 of about 4,138 (174)
Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods [PDF]
Applied Sciences (Switzerland), 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.
Muhammad Sajid Iqbal +2 more
exaly +4 more sources
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.
Kamyar Hosseini, Mohammad Mirzazadeh
exaly +3 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
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
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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
doaj +2 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 +2 more sources
Journal of Ocean Engineering and Science, 2018 The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
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New exact solutions for Kudryashov–Sinelshchikov equation
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
doaj +2 more sources
Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]
Nonlinear Analysis, 2012 In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
doaj +2 more sources