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Studies on the Effect of Dust–Ion Collision on Dust–Ion Acoustic Solitary Waves in a Magnetized Dusty Plasma in the Framework of Damped KP Equation and Modified Damped KP Equation

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Abstract

The influence of the dust–ion collision effect on the propagation of ion–acoustic waves (IAWs) in a collisional magnetized dusty plasma containing positive ions, dust grains with a negative charge and the electrons that follow combined Kappa–Cairns distribution is observed. Employing reductive perturbation technique (RPT), the damped Kadomtsev–Petviashvili (DKP) equation is derived from the basic governing equations and it is observed that there are some critical points for the plasma parameters for which the amplitude of solitary solution of DKP equation diverges. Then modified damped Kadomtsev–Petviashvili (MDKP) equation is derived by stretching the dependent variables in a different manner and the finite-amplitude soliton is explored there. The influence of various plasma parameters viz. entropic index (κ), nonthermal parameter (\({{\alpha }_{e}}\)), dust–ion collisional frequency (\({{\nu }_{{id0}}}\)), ratio of normalized electron density to ion density (μ), etc. on wave propagation is investigated numerically. Finally, comparative studies are drawn between the solitary wave solutions for different models.

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Authors and Affiliations

  1. Department of Mathematics, Alipurduar College, 736122, Alipurduar, India

    A. Roy

  2. Department of Mathematics, Mathabhanga College, 736146, Cooch Behar, India

    S. Raut

  3. Department of Mathematics, Dinhata College, 736135, Cooch Behar, India

    R. Barman

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Roy, A., Raut, S. & Barman, R. Studies on the Effect of Dust–Ion Collision on Dust–Ion Acoustic Solitary Waves in a Magnetized Dusty Plasma in the Framework of Damped KP Equation and Modified Damped KP Equation. Plasma Phys. Rep. 48, 367–383 (2022). https://doi.org/10.1134/S1063780X22040018

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