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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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
Online AccessGet full text
ISSN0295-5075
1286-4854
DOI10.1209/0295-5075/108/54001

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Abstract 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.
AbstractList 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.
Author Goldobin, Denis S.
Kovalevskaya, Kseniya V.
Lyubimov, Dmitry V.
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Cites_doi 10.1007/BF02698179
10.1017/S0022112099005820
10.1016/S0997-7546(99)00143-0
10.1103/PhysRevE.79.051603
10.1007/BF01397662
10.1016/0375-9601(83)90882-4
10.1103/PhysRevE.81.036302
10.1007/BF02628017
10.1103/PhysRevLett.24.444
10.1016/S0167-2789(02)00380-9
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SubjectTerms 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
Title Elastic and inelastic collisions of interfacial solitons and integrability of a two-layer fluid system subject to horizontal vibrations
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