Analytical solitary wave solution of dust ion acoustic waves in nonextensive plasma in the framework of damped forced Korteweg–de Vries–Burgers equation

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

doi:10.1007/s12648-020-01929-7

Cited by 8 publications

(2 citation statements)

References 35 publications

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“…Most of the reported literature described above has been focused on dust ion-acoustic solitary waves for KdV equations with the presence of damped and forced terms. In particular, the studies related to damped KdV frameworks [19][20][21] have been analysed with an assumption of the conservation equation is true for the damped KdV equation. To the best of the author's knowledge, in the literature, we conclude that no other studies have been reported on direct (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Further, in view of laboratory and space plasma applications, some of the research efforts have been made on dust ion solitary wave solution in the framework of damped and forced KdV equation [17,18]. Recently, Paul et al [19] considered a similar kind of work for DIA waves in the context of the KdV-Burgers equation with the presence of damping and forcing terms. Mandi et al [20] studied the solitary wave solution of DIA waves for damped modified KdV equation in non-extensive plasmas.…”

Section: Introductionmentioning

confidence: 99%

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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%