Volume 108, Number 5, December 2014
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||02 December 2014|
Elastic and inelastic collisions of interfacial solitons and integrability of a two-layer fluid system subject to horizontal vibrations
1 Institute of Continuous Media Mechanics, UB RAS - 1 Academik Korolev street, Perm 614013, Russia
2 Department of Theoretical Physics, Perm State University - 15 Bukireva str., 614990, Perm, Russia
3 Department of Mathematics, University of Leicester - University Road, Leicester LE1 7RH, UK
Received: 31 July 2014
Accepted: 10 November 2014
We study interfacial waves in a system of two horizontal layers of immiscible inviscid fluids involved into horizontal vibrational motion. We analyze the linear and nonlinear stability properties of the solitons in the system and consider two-soliton collision scenarios. We describe the events of explosive formation of sharp peaks on the interface, which may presumably lead to the layer rapture, and find that beyond the vicinity of these peaks the system dynamics can be represented as a kinetics of a soliton gas.
PACS: 47.35.Fg – Solitary waves / 47.15.gm – Thin film flows / 47.20.Ma – Interfacial instabilities (e.g., Rayleigh-Taylor)
© EPLA, 2014
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