Modified Korteweg–de Vries equation in a negative ion rich hot adiabatic dusty plasma with non-thermal ion and trapped electron

Adhikary, Nirab C.; Deka, Manoj Kr.; Dev, Apul N.; Sarmah, Jnanjyoti

doi:10.1063/1.4893150

Cited by 26 publications

(19 citation statements)

References 43 publications

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“…2017), and expand the variables , and , in power series of (Schamel 1973; Mamun & Shukla 2010; Adhikary et al. 2014): where stands for negative (positive) dust species. We use (2.6)–(3.4) in (2.1)–(2.5), and develop equations in various powers of .…”

Section: Mb Equationmentioning

confidence: 99%

“…Now, for a frame moving with a speed , the stationary localized solution (Adhikary et al. 2014; Dev et al. 2015 b ; Adhikary et al.…”

Section: Mb Equationmentioning

confidence: 99%

“…The effects of trapped ion species on DA shock waves have been studied by a number of authors (Adhikary et al. 2014; Dev et al. 2015 b ; El-Hanbaly et al.…”

Section: Introductionmentioning

confidence: 99%

“…It has also been observed by numerical simulation that a significant amount of the ion species is trapped in the wave potential of the DA waves (Winske et al 1995). The effects of trapped ion species on DA shock waves have been studied by a number of authors (Adhikary et al 2014;Dev et al 2015b;El-Hanbaly et al 2015;Adhikary et al 2017) who have shown the existence of the DA shock waves with stronger nonlinearity in a dusty plasma system containing a negatively charged dust fluid (Rao et al 1990), ion species following the Schamel distribution function (Schamel 1972), and an electron species following the Maxwellian distribution function.…”

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

et al. 2019

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The propagation of dust-acoustic (DA) shock waves (SWs) is studied in a four-component dusty plasma system containing viscous dust fluids of opposite polarity, Schamel distributed ions and Boltzmann distributed electrons. The reductive perturbation method is employed to derive a modified Burgers equation which gives rise to the DA shock waves with stronger nonlinearity. The viscous force acting in the dust fluids is identified as a source of dissipation, and is responsible for the formation of the DA shock waves. The basic characteristics (viz., speed, amplitude, width) of the DA shock waves are found to be significantly modified by the combined effects of opposite polarity dust fluids and trapped ions. The applications of this investigation in different space plasma environments and laboratory devices are pinpointed.

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Section: Mb Equationmentioning

confidence: 99%

“…Now, for a frame moving with a speed , the stationary localized solution (Adhikary et al. 2014; Dev et al. 2015 b ; Adhikary et al.…”

Section: Mb Equationmentioning

confidence: 99%

“…The effects of trapped ion species on DA shock waves have been studied by a number of authors (Adhikary et al. 2014; Dev et al. 2015 b ; El-Hanbaly et al.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

et al. 2019

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“…Physically, more and more depression in the particles' distribution will eventually result in a reduction in the amplitude of the wave as the plasma system advances in the direction of equilibrium as β approaches 0 and further towards a positive value (to be shown in the later part of this paper). Here and throughout the paper, the basic plasma parameters considered in the numerical analysis are adopted from [4][5][6] as well as [8][9][10] along with [37]. In figure 2, the spatial propagation of the soliton pulse at different time scales t is presented.…”

Section: Solitary Wave Solutionmentioning

confidence: 99%

Characteristics of dust acoustic waves in dissipative dusty plasma in the presence of trapped electrons

Kalita¹,

Deka²,

Dev³

et al. 2017

Plasma Sci. Technol.

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The formation and propagation of nonlinear dust acoustic waves (DAWs) as solitary and solitary/shock waves in an unmagnetized, homogeneous, dissipative and collisionless dusty plasma comprising negatively charged micron sized dust grains in the presence of free and trapped electrons with singly charged non-thermal positive ions is discussed in detail. The evolution characteristics of the solitary and shock waves are studied by deriving a modified Korteweg-de Vries-Burgers (mKdV-Burgers) equation using the reductive perturbation method. The mKdV-Burgers equation is solved considering the presence (absence) of dissipation. In the absence of dissipation the system admits a solitary wave solution, whereas in the presence of dissipation the system admits shock waves (both monotonic and oscillatory) as well as a combination of solitary and shock wave solutions. Standard methods of solving the evolution equation of shock (solitary) waves are used. The results are discussed numerically using standard values of plasma parameters. The findings may be useful for better understanding of formation and propagation of waves in astrophysical plasma.

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Nonlinear interaction phenomenon of dust acoustic solitary and shock waves in dusty plasma

Moinuddin

Alam

Talukder

2020

Contributions to Plasma Physics

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The effects of head‐on collision on dust acoustic (DA) solitary and shock waves in dusty plasma are investigated considering positively charged inertial dust, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal electrons in the plasma system. The nonlinear Korteweg‐de‐Vries (KdV) Burger equations are derived taking the extended Poincaré‐Lighthill‐Kuo method into account to study the characteristic properties of nonlinearity and production of solitary shock due to collisions. The study reveals that the amplitudes and widths of the DA shock waves are decreasing with increasing viscosity, electron to dust density ratio, and dust to ion temperature ratio, while they are increasing due to the presence of superthermal electrons. The nonlinearity of DA waves are enhanced with increasing density ratio of electron to dust and temperature ratio of dust to ion and electron, respectively, but it is reducing with superthermal electrons. The phase shifts of DA solitary waves are found to decrease with rising superthermality of electrons and increase with the density ratio of electron to dust.

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Modified Korteweg–de Vries equation in a negative ion rich hot adiabatic dusty plasma with non-thermal ion and trapped electron

Cited by 26 publications

References 43 publications

Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

Characteristics of dust acoustic waves in dissipative dusty plasma in the presence of trapped electrons

Nonlinear interaction phenomenon of dust acoustic solitary and shock waves in dusty plasma

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