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Computational and analytical solutions to modified Zakharov–Kuznetsov model with stability analysis via efficient techniques

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Abstract

In this paper, we present the analytic and numerical solutions of the newly modified Zakharov–Kuznetsov equation. This model is used to study the waves in different plasmas. The analytical solutions were achieved by the extended tanh method and the Sine Gordon method while the numerical one is achieved by the implicit finite difference method and the local truncation error and the stability analysis for the difference scheme are given. Graphical representations of exact and numerical solutions are given to illustrate our results. In addition to the other known results in the literature, the paper contributes new analytical and numerical results.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

    Khalid K. Ali

  2. Faculty of Engineering, MTI University, Cairo, Egypt

    M. S. Mehanna

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  1. Khalid K. Ali
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  2. M. S. Mehanna
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Correspondence to Khalid K. Ali.

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Ali, K.K., Mehanna, M.S. Computational and analytical solutions to modified Zakharov–Kuznetsov model with stability analysis via efficient techniques. Opt Quant Electron 53, 723 (2021). https://doi.org/10.1007/s11082-021-03363-3

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