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Some new families of exact solitary wave solutions of the Klein–Gordon–Zakharov equations in plasma physics

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Abstract

The prime objective of this paper is to obtain some new families of exact solitary wave solutions of the Klein–Gordon–Zakharov (KGZ) equations via computerised symbolic computation on Wolfram Mathematica. By applying the generalised exponential rational function method, numerous exact soliton solutions are constructed for the KGZ equations, which provide a model of the interaction between the Langmuir wave and the ion-acoustic wave in high-frequency plasma. Consequently, the exact solitary wave solutions are obtained in different forms of dynamical wave structures of solitons including multisolitons, lump-type solitons, travelling waves, kink waves, also trigonometric and hyperbolic function solutions, and rational function solutions. Moreover, the dynamical behaviour of the resulting multiple soliton solutions is discussed both analytically and graphically by using suitable values of free parameters through numerical simulation. The reported results have rich physical structures that are helpful to explain the nonlinear wave phenomena in plasma physics and soliton theory.

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Acknowledgements

This work is funded by Science and Engineering Research Board, SERB-DST, India, under project scheme MATRICS (MTR/2020/000531). The author, Sachin Kumar, has received this research grant.

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  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India

    Sachin Kumar

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  1. Sachin Kumar
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Correspondence to Sachin Kumar.

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Kumar, S. Some new families of exact solitary wave solutions of the Klein–Gordon–Zakharov equations in plasma physics. Pramana - J Phys 95, 161 (2021). https://doi.org/10.1007/s12043-021-02180-3

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  • DOI: https://doi.org/10.1007/s12043-021-02180-3

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