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

N. C. Adhikary; M. K. Deka; A. N. Dev; J. Sarmah

doi:10.1063/1.4893150

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

Physics of Plasmas ◽

10.1063/1.4893150 ◽

2014 ◽

Vol 21 (8) ◽

pp. 083703 ◽

Cited By ~ 15

Author(s):

N. C. Adhikary ◽

M. K. Deka ◽

A. N. Dev ◽

J. Sarmah

Keyword(s):

Dusty Plasma ◽

Vries Equation ◽

Negative Ion ◽

De Vries ◽

Adiabatic Dusty Plasma ◽

Trapped Electron

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Effect of trapped electron on the dust ion acoustic waves in dusty plasma using time fractional modified Korteweg-de Vries equation

Physics of Plasmas ◽

10.1063/1.4823997 ◽

2013 ◽

Vol 20 (10) ◽

pp. 103701 ◽

Cited By ~ 13

Author(s):

A. Nazari-Golshan ◽

S. S. Nourazar

Keyword(s):

Dusty Plasma ◽

Acoustic Waves ◽

Vries Equation ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

De Vries ◽

Dust Ion Acoustic Waves ◽

Trapped Electron

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Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.123560 ◽

2020 ◽

Vol 544 ◽

pp. 123560 ◽

Cited By ~ 10

Author(s):

Aly R. Seadawy ◽

Mujahid Iqbal ◽

Dianchen Lu

Keyword(s):

Acoustic Wave ◽

Dusty Plasma ◽

Vries Equation ◽

Ion Acoustic Wave ◽

Ion Acoustic ◽

De Vries ◽

Kink Wave

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Modified Korteweg–de Vries theory of non-monotonic double layers in multi-species plasma

Journal of Plasma Physics ◽

10.1017/s0022377806004752 ◽

2007 ◽

Vol 73 (4) ◽

pp. 485-493 ◽

Cited By ~ 1

Author(s):

T. H. KIM ◽

S. S. KIM ◽

H. Y. KIM ◽

J. H. HWANG

Keyword(s):

Double Layer ◽

Analytic Solution ◽

Vries Equation ◽

Negative Ion ◽

Double Layers ◽

Analytic Extension ◽

De Vries ◽

Ion Effects

AbstractThe analytic solution for the time stationary non-monotonic double layers in multi-species plasma is presented. This solution is the analytic extension of the monotonic double layer and the solitary hole. We have derived the modified Korteweg–de Vries equation in plasmas, taking account of negative ion effects. The effects of negative ion and density on the properties of the non-monotonic double layer are discussed.

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Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6782 ◽

2020 ◽

Vol 44 (1) ◽

pp. 737-748

Author(s):

Aly R. Seadawy ◽

Mujahid Iqbal

Keyword(s):

Dusty Plasma ◽

Vries Equation ◽

Mathematical Methods ◽

De Vries

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Integration of the nonlinear modified Korteweg-de Vries equation with a loaded term

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-2-9 ◽

2020 ◽

Vol 2020 (2) ◽

pp. 85-98

Author(s):

A.B. Khasanov ◽

T.J. Allanazarova

Keyword(s):

Vries Equation ◽

De Vries ◽

Loaded Term

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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

Contemporary Mathematics ◽

10.37256/cm.152020502 ◽

2020 ◽

Author(s):

Giuseppe Maria Coclite ◽

Lorenzo di Ruvo

Keyword(s):

A Priori Estimates ◽

Vries Equation ◽

A Priori ◽

Diffusion Parameter ◽

Priori Estimates ◽

De Vries ◽

Wall Interactions

The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.

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