Results 41 to 50 of about 567 (108)

Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one

, 2016
We consider the Kuramoto-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the Burgers ...
DI RUVO, LORENZO, COCLITE, Giuseppe Maria   +1 more
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Numerical Simulation of the Kudryashov–Sinelshchikov Equation for Modeling Pressure Waves in Liquids with Gas Bubbles

Mathematics
The Kudryashov–Sinelshchikov equation (KSE) is crucial in modeling pressure waves in liquids containing gas bubbles, capturing both nonlinear wave phenomena and dispersion effects.
Gayatri Das, Bibekananda Sitha, Rajesh Kumar Mohapatra, Predrag Stanimirović, Tzung-Pei Hong   +4 more
doaj   +1 more source

A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]

, 2010
Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
core   +1 more source

General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall [PDF]

, 2018
We consider a generalization of the Rayleigh equation for the description of the dynamics of a spherical gas bubble oscillating near an elastic or rigid wall. We show that in the non–dissipative case, i.e.
Kudryashov Nikolay, Garashchuk Ivan, Sinelshchikov Dmitry   +2 more
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Approximate analytical solution to the Kudryashov-Sinelshchikov equation with he’s fractional derivative

Thermal Science, 2023
In this paper, the Adomian decomposition method was employed successfully to solve the Kudryashov-Sinelshchikov equation involving He?s fractional derivatives, and an approximate analytical solution was obtained.
openaire   +1 more source

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
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Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]

, 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.
Yusuf Pandir, Seyma Tuluce Demiray, Hasan Bulut   +2 more
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The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

, 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 ...
Md Samsuzzoha, Forhad Mahmud, M. Ali Akbar   +2 more
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Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a ...
Adem Kilicman, Rathinavel Silambarasan
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Different kinds of singular and nonsingular exact traveling wave solutions of the Kudryashov-Sinelshchikov equation in the special parametric conditions

, 2020
In this paper, by using the integral bifurcation method, we studied the Kudryashov-Sinelshchikov equation. In the special parametric conditions, some singular and nonsingular exact traveling wave solutions, such as periodic cusp-wave solutions, periodic ...
Yao Long, Weiguo Rui, Can Chen
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