New soliton solutions of the system of equations for the ion sound and Langmuir waves

Authors

  • Seyma Tuluce Demiray Department of Mathematics, Firat University, Elazig, Turkey
  • Hasan Bulut Department of Mathematics, Firat University, Elazig, Turkey

DOI:

https://doi.org/10.11121/ijocta.01.2017.00292

Keywords:

The system of equations, Ion sound wave, Langmuir wave, Generalized Kudryashov method, Dark soliton solutions, Mathematica Release 9

Abstract

This study is based on new soliton solutions of the system of equations for the ion sound wave under the action of the ponderomotive force due to high-frequency field and for the Langmuir wave. The generalized Kudryashov method (GKM), which is one of the analytical methods, has been tackled for finding exact solutions of the system of equations for the ion sound wave and the Langmuir wave. By using this method, dark soliton solutions of this system of equations have been obtained. Also, by using Mathematica Release 9, some graphical simulations were designed to see the behavior of these solutions.

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Published

2016-11-29
CITATION
DOI: 10.11121/ijocta.01.2017.00292
Published: 2016-11-29

How to Cite

Tuluce Demiray, S., & Bulut, H. (2016). New soliton solutions of the system of equations for the ion sound and Langmuir waves. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 7(1), 42–49. https://doi.org/10.11121/ijocta.01.2017.00292

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Research Articles