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

TL;DR

This paper investigates the behavior of interfacial solitons in a two-layer fluid system under horizontal vibrations, analyzing their stability, collisions, and potential for explosive peak formation, with implications for understanding layer rupture.

Contribution

It introduces a comprehensive analysis of soliton interactions, stability, and the integrability of the two-layer fluid system under vibrational forcing, including collision dynamics and peak formation mechanisms.

Findings

Solitons exhibit both elastic and inelastic collision behaviors.

Explosive formation of sharp peaks on the interface can lead to layer rapture.

System dynamics near peaks can be modeled as a soliton gas kinetics.

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.