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Nonlinear propagation of weakly relativistic ion-acoustic waves in electron–positron–ion plasma

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Abstract

This work presents theoretical and numerical discussion on the dynamics of ion-acoustic solitary wave for weakly relativistic regime in unmagnetized plasma comprising non-extensive electrons, Boltzmann positrons and relativistic ions. In order to analyse the nonlinear propagation phenomena, the Korteweg–de Vries (KdV) equation is derived using the well-known reductive perturbation method. The integration of the derived equation is carried out using the ansatz method and the generalized Riccati equation mapping method. The influence of plasma parameters on the amplitude and width of the soliton and the electrostatic nonlinear propagation of weakly relativistic ion-acoustic solitary waves are described. The obtained results of the nonlinear low-frequency waves in such plasmas may be helpful to understand various phenomena in astrophysical compact object and space physics.

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Authors and Affiliations

  1. Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, 4349, Bangladesh

    M G HAFEZ

  2. Department of Applied Physics and Electronic Engineering, University of Rajshahi, Rajshahi, 6205, Bangladesh

    M R TALUKDER

  3. Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205, Bangladesh

    M G HAFEZ & M HOSSAIN ALI

Authors
  1. M G HAFEZ
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  2. M R TALUKDER
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  3. M HOSSAIN ALI
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Correspondence to M G HAFEZ.

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HAFEZ, M.G., TALUKDER, M.R. & ALI, M.H. Nonlinear propagation of weakly relativistic ion-acoustic waves in electron–positron–ion plasma. Pramana - J Phys 87, 70 (2016). https://doi.org/10.1007/s12043-016-1275-x

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  • DOI: https://doi.org/10.1007/s12043-016-1275-x

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