Ion Acoustic Peregrine Soliton Under Enhanced Dissipation

Pallabi Pathak

doi:10.3389/fphy.2020.603112

Abstract

The effect of enhanced Landau damping on the evolution of ion acoustic Peregrine soliton in multicomponent plasma with negative ions has been investigated. The experiment is performed in a multidipole double plasma device. To enhance the ion Landau damping, the temperature of the ions is increased by applying a continuous sinusoidal signal of frequency close to the ion plasma frequency ∼1 MHz to the separation grid. The spatial damping rate of the ion acoustic wave is measured by interferometry. The damping rate of ion acoustic wave increases with the increase in voltage of the applied signal. At a higher damping rate, the Peregrine soliton ceases to show its characteristics leaving behind a continuous envelope.

Highlights

The Peregrine soliton is an isolated large-amplitude wave commonly known as rogue waves
This solution was later known as Peregrine soliton, which has been considered as a prototype of a rogue wave
The purpose of this paper is to report the experimental investigation of the Landau damping effect on Peregrine soliton in multicomponent plasma with a critical concentration of negative ions

Summary

Introduction

The Peregrine soliton is an isolated large-amplitude wave commonly known as rogue waves. One generic mechanism considered responsible for the evolution of rogue waves is modulational instability In this process, phase and amplitude modulation grow due to a delicate balance between nonlinearity and group velocity dispersion. In 1983, Peregrine derived a rational solution of NLSE in the context of water waves as a limit of a wide class of solutions to the NLSE [1] This solution was later known as Peregrine soliton, which has been considered as a prototype of a rogue wave. Using the NLSE framework, the vigours properties of rogue waves have been theoretically studied in different plasma systems, such as electron-positron plasma [8], magnetized plasma [9], plasma with nonextensive electron velocity distribution [10], nonthermal plasma [11], and dusty plasma [12,13,14,15,16]. Similar studies in electron-positron-ion plasma using a semirelativistic fluid model predicted the evolution of both bright and dark type envelope solitons [19, 20]

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