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Nonplanar Electron - Acoustic Shock Waves with Superthermal Hot Electrons

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Abstract

Nonplanar electron-acoustic shock waves having superthermal hot electrons are investigated with two temperature electrons model in unmagnetized plasma. Using reductive perturbation method, Korteweg-de Vries-Burgers (KdVB) equation is obtained in the cylindrical/spherical coordinates. Dissipation effect is introduced in the model by means of kinematic viscosity term. On the basis of the solutions of KdVB equation, variation of shock waves features (amplitude, velocity and width) with different plasma parameters are analysed. KdV-Burgers equation always leads to monotonic solitons and no oscillatory peak may appear. The combined effect of particle density (α), superthermal parameter (κ), electron temperature ratio (𝜃) and kinetic viscosity (η0) is numerically studied, and it is observed that these parameters significantly change the properties of the shock waves in nonplanar geometry especially in spherical coordinates. Results could be helpful to analyse the soliton features in laboratory as well as in the space environments.

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Acknowledgments

The authors Sona Bansal and Munish Aggarwal are thankful to Punjab Technical University, Kapurthala (India) for their support.

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Authors and Affiliations

  1. I. K. Gujral Punjab Technical University, Kapurthala, 144601, India

    Sona Bansal

  2. Sikh National College, Banga, 144505, India

    Sona Bansal

  3. Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar, 144001, India

    Munish Aggarwal

  4. Department of Physics, Guru Nanak Dev University, Amritsar, 143 005, India

    Tarsem Singh Gill

Authors
  1. Sona Bansal
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  2. Munish Aggarwal
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  3. Tarsem Singh Gill
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Correspondence to Sona Bansal.

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Bansal, S., Aggarwal, M. & Gill, T.S. Nonplanar Electron - Acoustic Shock Waves with Superthermal Hot Electrons. Braz J Phys 48, 638–644 (2018). https://doi.org/10.1007/s13538-018-0602-8

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  • DOI: https://doi.org/10.1007/s13538-018-0602-8

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