Results 81 to 90 of about 567 (108)

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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Huizhang Yang, Wei Liu, Biyu Yang, Bin He   +3 more
exaly   +3 more sources

The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov–Sinelshchikov equation

Communications in Nonlinear Science and Numerical Simulation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing Meng, Yao Long
exaly   +3 more sources

Bifurcation analysis and solutions of a three-dimensional Kudryashov–Sinelshchikov equation in the bubbly liquid

Communications in Nonlinear Science and Numerical Simulation, 2014
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Wen-Rong Sun, Bo Tian
exaly   +2 more sources

Symmetry Reductions and Exact Solutions to the Kudryashov–Sinelshchikov Equation

Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 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.
exaly   +2 more sources

Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation

Wave Motion, 2023
Seydi Battal Gazi Karakoc, Asit Saha, Samir Kumar Bhowmik   +2 more
exaly   +3 more sources

Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation

Journal of Partial Differential Equations, 2023
Summary: In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary
Li, Jina, Qu, Gaizhu, Zhang, Jianlin, Ji, Xuehui   +3 more
openaire   +2 more sources

Orbital stability of solitary wave solutions of Kudryashov–Sinelshchikov equation

The European Physical Journal Plus, 2020
We study orbital stability of solitary wave solutions of the Kudryashov–Sinelshchikov equation in describing the pressure waves in a mixture liquid. Our approach is based on the theories of orbital stability presented by Grillakis, Shatah and Strauss, and relies on the sign of scalar function.
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf, Dumitru Baleanu   +3 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 ...
Jibin Li 0001, Guanrong Chen
openaire   +2 more sources

On the Kudryashov–Sinelshchikov equation for waves in bubbly liquids

Physics Letters A, 2011
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Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques

The European Physical Journal Plus, 2021
In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE) which is the generalization of KdV and describes the nonlinear waves in mixtures of gas–liquid in the absence of viscosity. We apply the Sardar-subequation method and the new extended hyperbolic function method to construct the exact solutions of KSE.
Hamood Ur Rehman, Naeem Ullah, M. A. Imran   +2 more
openaire   +1 more source