106 citations · 722 across the 27 of their papers we have counts for
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Extended models of nonlinear waves in liquid with gas bubbles
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
In this work we generalize the models for nonlinear waves in a gas--liquid mixture taking into account an interphase heat transfer, a surface tension and a weak liquid compressibil…
On the integrability conditions for a family of the Liénard-type equations
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
We study a family of Liénard--type equations. Such equations are used for the description of various processes in physics, mechanics and biology and also appear as traveling--wave…
New non-standard Lagrangians for the Liénard-type equations
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
Liénard-type equations are used for the description of various phenomena in physics and other fields of science. Here we find a new family of the Liénard-type equations which admit…
On the criteria for integrability of the Liénard equation
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
The Liénard equation is of a high importance from both mathematical and physical points of view. However a question about integrability of this equation has not been completely ans…
Periodic structures described by the perturbed Burgers-Korteweg-de Vries equation
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
We study the perturbed Burgers-Korteweg-de Vries equation. This equation can be used for the description of nonlinear waves in a liquid with gas bubbles and for the description of…
Analytical solutions for problems of bubble dynamics
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in dimensions has been obtained. Here we give the closed--from general analytical solution of this…