Results 21 to 30 of about 1,090 (181)

Exact solutions of the Kudryashov–Sinelshchikov equation [PDF]

Applied Mathematics and Computation, 2010
The Kudryashov-Sinelshchikov equation for describing the pressure waves in liquid with gas bubbles is studied. New exact solution of this equation are found. Modification of truncated expansion method is used for obtaining exact solution of this equation.
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A singular limit problem for the Kudryashov-Sinelshchikov equation [PDF]

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2014
We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation coverge to the entropy ones of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compansated ...
COCLITE, Giuseppe Maria, di Ruvo L.
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New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

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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The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

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, Md Samsuzzoha, M. Ali Akbar   +2 more
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White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives

Advances in Difference Equations, 2020
The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation.
Abd-Allah Hyder
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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, Md. Ekramul Islam, M. Ali Akbar   +2 more
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On the Dynamics of the Complex Hirota-Dynamical Model

Mathematics, 2023
The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies.
Arzu Akbulut, Melike Kaplan, Rubayyi T. Alqahtani, W. Eltayeb Ahmed   +3 more
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Unveiling the Dynamics of Nonlinear Landau-Ginzburg-Higgs (LGH) Equation: Wave Structures through Multiple Auxiliary Equation Methods

Journal of New Theory
This comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
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New exact solutions for the time fractional coupled Boussinesq–Burger equation and approximate long water wave equation in shallow water

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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New exact travelling wave solutions for space-time fractional nonlinear equations describing nonlinear transmission lines

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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