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Modelling of nonlinear ion-acoustic wave structures due to Martian ionospheric loss

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Abstract

The ion escape process of the ionosphere of an unmagnetized planet, Mars, gets highly stimulated by the interaction with the solar wind. A mathematical model is constructed to investigate the nonlinear dynamics of ionized particles by studying the propagation dynamics of ion-acoustic waves (IAWs) formed due to the interaction of Martian ionospheric plasma consisting of the positive ion beam (\(O^{+}\)) and negative ions (\(Cl^{-}\)) with the solar wind composed by \(H^{+}\) ions and electrons. The Sagdeev Pseudopotential formalism is deployed to investigate the nonlinear properties of the ion-acoustic waves. Using the phase plane analysis, the unperturbed dynamical systems are examined for solitary as well as other nonlinear waves. The three-dimensional total energy functions are plotted to support the existence of nonlinear and super nonlinear wave structures and the existence region of the solitary waves is explored. A relevant set of plasma parameters for Martian ionospheric plasma is chosen to discuss the analytical solution of the energy equation by using the concept of the Jacobi elliptic function. The perturbed dynamical system is investigated to examine the existence of quasiperiodic and chaotic trajectories. The effects of different plasma parameters on nonlinear wave features are discussed.

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Funding

Debaditya Kolay and Dr. Debjit Dutta are grateful to the Council of Scientific and Industrial Research, Department of Science and Technology, Govt. of India, for funding this research (CSIR Project Number – 03(1471)/19/EMR-II).

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  1. Department of Basic and Applied Science, National Institute of Technology, Arunachal Pradesh, Jote, 791113, India

    Debaditya Kolay & Debjit Dutta

  2. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, East-Sikkim, 737136, India

    Asit Saha

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  1. Debaditya Kolay
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First and second author have equally contributed in the said work. The third author has shared his views to improve the quality of this work.

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Kolay, D., Dutta, D. & Saha, A. Modelling of nonlinear ion-acoustic wave structures due to Martian ionospheric loss. Astrophys Space Sci 368, 4 (2023). https://doi.org/10.1007/s10509-022-04161-3

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