Ion-Neutral Collisional Effect on Solitary Waves in Weakly Ionized Plasma with Cairns–Gurevich Distribution of Electrons

Paul, Niranjan; Ali, Rustam; Mondal, Kajal Kumar; Chatterjee, Prasanta

doi:10.1007/s40819-021-01113-3

Cited by 5 publications

(1 citation statement)

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“…Some of the significant mathematical models such as KdV, Kadomtsev-Petviashvili equation (KP) and nonlinear Schrödinger equation (NSE) plays a very important role in soliton theory. Among those, the KdV equation received great attention in solitary wave theory [10]. This KdV model remains the focus of active mathematical research for the past several years and it could model many significant physical phenomena such as gas dynamics, waves on shallow water surfaces, hydromagnetic, blood flow in arteries, and so on.…”

Section: Introductionmentioning

confidence: 99%

Analysis of solitons structure of the damped KdV equation arising in superthermal plasmas: Application of homotopy analysis method

Kumar

Jana

2023

Proc Appl Math and Mech

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The aim of the proposed work is to analyze the soliton structures of dust-ion acoustic waves obtained in the framework of the Korteg-de Vries (KdV) equation with the presence of a damping term. The concept of electron acoustic solitary wave in an unmagnetized plasma consisting of superthermal electrons has been taken into consideration. The KdV equation with the presence of a damping term has been derived with the help of the reductive perturbation technique and solved by using the well-known homotopy analysis method. The considered method approximates all problems in a straightforward and simplified manner. The method computes the series solution efficiently and provides a simple way to ensure its convergence. The approximate analytical solution obtained from the present analysis is compared with available results in the literature for a different choice of pertinent parameters. The upshots specified that the amplitude of solitary waves increases for increasing values of the damping parameter. This study would in a way to demonstrate the potential and effectiveness of the homotopy analysis method to evaluate the various kinds of nonlinear equations arising in the soliton theory.

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Section: Introductionmentioning

confidence: 99%