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Multiple soliton solutions of the space-time fractional Zakharov-Kuznetsov equation by the multiple exp-function method
  • Elahe Miri Eskandari,
  • Nasir Taghizadeh,
  • Mona Najand Foumani
Elahe Miri Eskandari
University of Guilan

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Nasir Taghizadeh
University of Guilan
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Mona Najand Foumani
University of Guilan
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Abstract

This paper discusses on the multiple soliton solutions of the space-time fractional Zakharov-Kuznetsov (ZK) equation derived for describing weakly nonlinear ion-acoustic waves in the plasma investigated with multiple exp-function method. Also, results show that the multiple soliton solutions are precisely obtained from this method. In this paper, for the first time, we obtained a new and non-trivial one-wave solution of the fractional ZK equation. Note that this method is reliable for solving evolutionary equations of nonlinear fractions that are applicable in various fields of applied sciences, especially physics. In the end, we provide one-wave, two-wave, and three-wave solutions, which include one-soliton, two-soliton, and three-soliton type solutions.