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Analysis of solitons structure of the damped KdV equation arising in superthermal plasmas: Application of homotopy analysis method.
- Source :
-
PAMM: Proceedings in Applied Mathematics & Mechanics . Mar2023, Vol. 22 Issue 1, p1-6. 6p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16177061
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- PAMM: Proceedings in Applied Mathematics & Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 162673953
- Full Text :
- https://doi.org/10.1002/pamm.202200040