Regular and singular dust ion-acoustic soliton structures in superthermal plasmas: Adomian decomposition approach

Regular and singular dust ion-acoustic solitons structures have been investigated employing a semi-analytical scheme, Adomian decomposition method (ADM). The Damped Korteg-de Vries (DKdV) equation has been derived using the reductive perturbation technique from the set of governing equations of the...

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Bibliographic Details
Published in:Indian journal of physics 2023-11, Vol.97 (13), p.4059-4068
Main Authors: Kumar, Mahesh, Jana, Ranjan Kumar, Chatterjee, Prasanta, Ghosh, Uday Naryana
Format: Article
Language:English
Subjects:
Astrophysics and Astroparticles
Damping
Decomposition
Dust
Dusty plasmas
Mach number
Mathematical analysis
Nonlinear equations
Original Paper
Perturbation methods
Physics
Physics and Astronomy
Solitary waves
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Summary:Regular and singular dust ion-acoustic solitons structures have been investigated employing a semi-analytical scheme, Adomian decomposition method (ADM). The Damped Korteg-de Vries (DKdV) equation has been derived using the reductive perturbation technique from the set of governing equations of the unmagnetized collisional dusty plasmas comprising ions, dust grains, and superthermal electrons. We have constructed an approximate analytical scheme with the help of ADM to obtain regular as well as singular soliton structures. The prime scope of this work is to analyze singular solitons structures which have not been obtained from the usual techniques that are available for evaluating regular soliton solutions with damping. The results indicate that the singular solitons behavior of DKdV increases for increasing values of Mach number and decreases for spectral index parameter. Further, the soliton solution of DKdV shows similar compressive and rarefactive behavior as that of solitons. The DKdV soliton results obtained from the ADM have been compared to the existing results and are found to be in good agreement. Hence the proposed work would be a way to demonstrate the potential and effectiveness of ADM for various kinds of nonlinear equations arising in the soliton theory.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-023-02703-1