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Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves

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Abstract

We investigated the new exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs). In this work, we use the extended form of two methods, auxiliary equation mapping and direct algebraic methods, to find the families of new exact travelling wave solutions of the SEISLWs. These new exact travelling solutions are derived in the form of trigonometric functions, hyperbolic functions, periodic solitary waves, bright and dark solitons, kink solutions of the SEISLWs. We used the Mathematica program to show these solutions in two and three dimensions graphically.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R Seadawy

  2. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    Aly R Seadawy

  3. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, People’s Republic of China

    Dianchen Lu & Mujahid Iqbal

Authors
  1. Aly R Seadawy
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  2. Dianchen Lu
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  3. Mujahid Iqbal
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Corresponding author

Correspondence to Dianchen Lu.

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Seadawy, A.R., Lu, D. & Iqbal, M. Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves. Pramana - J Phys 93, 10 (2019). https://doi.org/10.1007/s12043-019-1771-x

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  • DOI: https://doi.org/10.1007/s12043-019-1771-x

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