Collapsible and Spiky Wave for Dust Acoustic Waves in Dusty Plasmas

Ranjit K Kalita Ranjit K Kalita,Jnanjyoti Sarma Jnanjyoti Sarma

doi:10.15415/mjis.2019.72011

Ranjit K Kalita Ranjit K Kalita, Jnanjyoti Sarma Jnanjyoti Sarma

Open Access

https://doi.org/10.15415/mjis.2019.72011

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Abstract

In multicomponent dusty plasma, the Sagdeev Potential (SP) approach is employed to formulate the Energy Equation for arbitrary amplitude dust acoustic waves (DAWs), where an amount of electrons is trapped in potential well. The dependence of amplitude and width of the solitons of Sagdeev Potential on plasma parameters is widely discussed. The range of Mach number has determined for solitary waves (SWs) with the help of critical Mach number. The solution of the Energy Equation obtained, has been discussed by expanding the expression for SP in the higher terms of φ . The different solutions of Energy Equation give us SWs, breakable waves, collapsible waves and SWs with spiky and explosive nature. The role of temperature ratio on the transformation of SWs to collapsible waves is discussed. With the help of standard values of plasma parameters relevant to such plasma environment, the results so obtained, are discussed. These results may help us to explain the nature of SWs in different astrophysical situations.

Highlights

The research on solitary waves (SWs) with small amplitude in the dynamics of dusty plasma is gradually becoming an emerging field due to the omnipresence of the different micron sized interplanetary dust particles (IDPs) (Messenger, 2000) in the astrophysical atmosphere
The primary aim of this study is to highlight the interactions of plasma parameters compatible for this plasma system by deriving the Energy Equation (Sagdeev Potential equation) for collapsible waves, breakable waves and waves in spiky and explosive mode
The dispersion relation is analytically derived in form of critical Mach number, and domain for the SWs is obtained in form of Mach number limit

Summary

Introduction

The research on SWs with small amplitude in the dynamics of dusty plasma is gradually becoming an emerging field due to the omnipresence of the different micron sized interplanetary dust particles (IDPs) (Messenger, 2000) in the astrophysical atmosphere. The KdV family of equations have some limitations; especially it is lacking behind (Das et al 1998) in explain arbitrary amplitude of SWs. Contemporary researcher (Sagdeev 1966) looked into the characteristics of nonlinear waves having arbitrary amplitudes in unmagnetized isothermal plasma where Te Ti with cold ions by time independent approach. In another study (Rao et al 1990) had noticed that, if the dust is charged, a new dust acoustic mode for small amplitude SWs has to be generated This theoretical observation had got boost by the experimental work of (Barkan et al 1995), which later encouraged the anticipation of several findings.

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