Results 81 to 90 of about 1,885 (105)

Cnoidal waves governed by the Kudryashov–Sinelshchikov equation

Physics Letters A, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Randrüüt, Merle, Braun, Manfred
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Numerical simulation of time fractional Kudryashov Sinelshchikov equation describing the pressure waves in a mixture of liquid and gas bubbles

arXiv.org, 2023
This article is concerned with an approximate analytical solution for the time fractional Kudryashov Sinelshchikov equation by using the reproducing kernel Hilbert space method.
G. Das, S. Ray
semanticscholar   +1 more source

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order

AIP Conference Proceedings, 2019
The equivalence group for a class of nonlinear evolution partial differential equations, generalizing the second order Kudryashov-Sinelshchikov equation which describes pressure waves in liquid with bubbles, is calculated. Then a preliminary group classification of the equations in the considered class is obtained.
Yu. D. Bozhkov, S. Dimas, O. M. L. Duque
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Localized Wave and Other Special Wave Solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov Equation

Mathematical methods in the applied sciences
This paper aims to explore some different localized wave solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov equation (KSe) for the liquid with gas bubbles. First, the traveling wave transformation is employed to reduce the dimension of the (3 +
Kang‐Jia Wang, Shuai Li, Guo‐Dong Wang, Peng Xu, Feng Shi, Xiao-Lian Liu   +5 more
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EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION

International Journal of Bifurcation and Chaos, 2012
By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the Kudryashov–Sinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions ...
Li, Jibin, Chen, Guanrong
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The excitation of high-order localized waves in (3+1)-dimensional Kudryashov-Sinelshchikov equation

Physica Scripta
The aim of this work is to explore the excitation of high-order localized waves in the (3+1)-dimensional Kudryashov-Sinelshchikov equation, which is used to describe the dynamic of liquid with gas bubble.
Longxing Li, Bitao Cheng, Zhengde Dai
semanticscholar   +1 more source

On the Kudryashov–Sinelshchikov equation for waves in bubbly liquids

Physics Letters A, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetry Reductions and Exact Solutions to the Kudryashov–Sinelshchikov Equation

Zeitschrift für Naturforschung A, 2016
Abstract In this article, based on the compatibility method, some nonclassical symmetries of Kudryashov–Sinelshchikov equation are derived. By solving the corresponding characteristic equations associated with symmetry equations, some new exact explicit solutions of Kudryashov–Sinelshchikov equation are obtained.
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Lie symmetry analysis and exact explicit solutions of three-dimensional Kudryashov–Sinelshchikov equation

Communications in Nonlinear Science and Numerical Simulation, 2015
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Yang, Huizhang, Liu, Wei, Yang, Biyu, He, Bin   +3 more
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On identical traveling-wave solutions of the Kudryashov–Sinelshchikov and related equations

International Journal of Non-Linear Mechanics, 2014
Abstract Kudryashov and Sinelshchikov (2010) [2] , [3] have developed a one-dimensional theory of the flow of a liquid with gas bubbles. The propagation of waves is described by an evolution equation that contains non-linear terms in the higher derivatives.
Randrüüt, Merle, Braun, Manfred
openaire   +1 more source