Analytical solitary wave solution of the dust ion acoustic waves for the damped forced modified Korteweg-de Vries equation in q-nonextensive plasmas

Mandi, Laxmikanta; Mondal, Kajal Kumar; Chatterjee, Prasanta

doi:10.1140/epjst/e2019-900047-4

Cited by 38 publications

(19 citation statements)

References 44 publications

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“…In this section, we will present the mathematical procedure to obtain the analytical solution of DKdV Equation ( 30) under weak damping effects due to ion-neutral collisions in magnetized plasmas Ref. [32].…”

Section: Analytical Solutionmentioning

confidence: 99%

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Akhtar

Hussain

Mahmood

2021

Contributions to Plasma Physics

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Low-frequency fast and slow magnetosonic waves propagating in electron ion plasmas with damping effects through ions and neutral atoms collisions are investigated. Linear wave analysis is performed to obtain dispersion relation. The reductive perturbation method is applied and it is shown that fast and slow modes of nonlinear magnetosonic wave are governed by damped Korteweg-de Vries (DKdV) equation in the presence of ion neutral collisions in plasmas. The analytical solution of DKdV soliton is presented under the assumption of weak collisional effects and numerical solutions of DKdV equation are also obtained using two-level finite difference scheme with the help of Runge-Kutta method at different plasma parameters. The damping of nonlinear fast and slow magnetosonic wave structures at different times are discussed in the context of space plasma situations where ions and neutral atoms collisions exist.

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Section: Analytical Solutionmentioning

confidence: 99%

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Akhtar

Hussain

Mahmood

2021

Contributions to Plasma Physics

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“…Using the reductive perturbation theory, the asymptotic analysis with the aid of equations [8][9][10] have been done by introducing the slow stretched co-ordinates:…”

Section: Mathematical Modeling and Governing Equationsmentioning

confidence: 99%

“…These waves are therefore used to relay information because of their stationary profile after a collision in fiber optic transmissions. In comparison to solitons in energy storage systems, when the soliton is dissipated or damped, all of their characteristics are found to change and decay as time passes [10,11]. A large class of theoretical as well as experimental studies have been carried out in different plasma environments, and it is noticed that the evolution of soliton-like solutions in the dissipative systems significantly depend on on certain physical parameters of that medium [12].…”

Section: Introductionmentioning

confidence: 99%

Studies on the effect of kinematic viscosity on electron-acoustic cylindrical and spherical solitary waves in a plasma with trapped electrons

Roy¹,

Saha²,

Raut³

et al. 2021

J. Appl. Math. Comput. Mech.

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In this article, using the standard reductive perturbation technique (RPT) to the basic governing equations for plasma comprising stationary ions, cold electrons and hot electrons abiding by vortex-like distribution, nonplanar Schamel Burger (NSB) equations is derived. In order to study the propagating properties of Electron acoustic (EA), progressive wave solution is obtained by employing the weighted residual method (WRM). Most of the observations of the EA wave are limited to the plasma environment where the effects of viscosity, collisions, ion streaming velocity are totally neglected. In our present observation, propagation of EA waves in a viscous plasma is described considering a weak damping (by adding a Burgers term) due to the inner particle collision and viscosity. Special attention has been given to study the impact of the other physical parameters in wave propagation in the framework of the Schamel Burgers medium.

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“…Due to the combined action of wall oscillations and flow oscillations, the dispersion coefficient is observed to change cyclically, and took both positive and negative values, which differs from the case of no wall oscillations where the dispersion coefficient was seen to take only positive values. Mandi et al [14] studied the damped forced modified Korteweg-de Vries equation in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, q-nonextensive electrons, and neutral particles in the presence of external periodic force. The effects of different physical parameters such as the entropic index, dust ion collisional frequency, strength and frequency of the external periodic force, speed of the traveling wave, and the parameter which is the ratio between the unperturbed densities of the dust ions and electrons were investigated.…”

Section: Rheological and Tribological Properties Of Fluidsmentioning

confidence: 99%

Transport properties of nanofluids and applications

Banerjee

Kumar

2019

Eur. Phys. J. Spec. Top.

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Over the past few decades, several researchers have produced a variety of nanofluids that are used as heat transfer fluids in many engineering and technological processes. A nanofluid is a kind of heat transfer fluid, containing nanoparticles (1-100 nm) that are uniformly and stably distributed in a base fluid. Nanoparticles can be metallic/intermetallic compounds, such as Ag, Cu, Ni, Au, Fe, and ceramic compounds such as oxides, sulfides and carbides. Liquids such as water, ethylene glycol, a mixture of water and ethylene glycol, diethylene glycol, polyethylene glycol, engine oil, vegetable oil, paraffin, coconut oil, gear oil, kerosene, and pump oil are used as base fluids. A wide range of applications for nanofluids in different areas have been reported in the literature. These include biomedical applications, lubrication, surface coating, petroleum processing, environmental remediation, and cooling systems for electronics.

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Analytical solitary wave solution of the dust ion acoustic waves for the damped forced modified Korteweg-de Vries equation in q-nonextensive plasmas

Cited by 38 publications

References 44 publications

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Studies on the effect of kinematic viscosity on electron-acoustic cylindrical and spherical solitary waves in a plasma with trapped electrons

Transport properties of nanofluids and applications

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