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

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 this peaks the system dynamics can be represented as a kinetics of a soliton gas.

arXiv comment6 pages, 6 figures, to appear in Europhys. Lett

References in corpus (2)

• Stability of Plane-Parallel Vibrational Flow In a Two-Layer System
• Influences of a longitudinal and tilted vibration on stability and dewetting of a liquid film

Cited by in corpus (3)

• Running interfacial waves in two-layer fluid system subject to longitudinal vibrations
• Comparison of the effect of horizontal vibrations on interfacial waves in a two-layer system of inviscid liquids to effective gravity inversion
• Stochastic parametric excitation of convective heat transfer