Elastic and inelastic collisions of interfacial solitons and integrability of a two-layer fluid system subject to horizontal vibrations

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 ex...

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Bibliographic Details
Published inEurophysics letters Vol. 108; no. 5; pp. 54001 - p1-54001-p6
Main Authors Goldobin, Denis S., Kovalevskaya, Kseniya V., Lyubimov, Dmitry V.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.12.2014
IOP Publishing
Subjects
47.15.gm
47.20.Ma
47.35.Fg
Collision dynamics
Dynamical systems
Elastic analysis
Elastic properties
Fluid dynamics
Fluid flow
Fluids
Horizontal
Inelastic collisions
Interface stability
Motion stability
Solitary waves
Solitons
System dynamics
Vibration
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Summary: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.
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ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/108/54001