Results 21 to 30 of about 2,053 (172)
Ain Shams Engineering Journal, 2021 This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater +3 more
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Entropy, 2015 In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
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Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method
Mathematics, 2021 This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity.
Noha M. Rasheed +4 more
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Solving fractional nonlinear partial differential equations by the modified Kudryashov method
Journal of Physics: Conference Series, 2019 Abstract There are more and more methods for transforming nonlinear partial differential equations into ordinary differential equations by using the traveling wave transform. In this paper, the modified Kudryashov method is used to use the new traveling wave transform, and the exact solution of the space-time fractional equal-width ...
Menghan Hao, Yanni Zhang, Jing Pang
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Results in Physics, 2018 In this paper, we examines the effectiveness of newly developed algorithms called the exp(-ϕ(ξ))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear ...
M.A. Abdou, A.A. Soliman
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A KdV-like advection-dispersion equation with some remarkable properties [PDF]
, 2012 We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection ...
Abhijit Sen +13 more
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Journal of Ocean Engineering and Science, 2017 The aim of the article is to construct exact solutions for the time fractional coupled Boussinesq–Burger and approximate long water wave equations by using the generalized Kudryashov method. The fractional differential equation is converted into ordinary
Mostafa M.A. Khater, Dipankar Kumar
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Journal of Ocean Engineering and Science, 2016 The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation.
S. Saha Ray, S. Sahoo
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The system of equations for the ion sound and Langmuir waves and its new exact solutions
Results in Physics, 2018 The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy +3 more
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New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques
Journal of Ocean Engineering and Science, 2023 The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut +2 more
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