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New soliton solutions of the system of equations for the ion sound and Langmuir waves
Author(s) -
Şeyma Tülüce Demiray,
Hasan Bulut
Publication year - 2016
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2017.00292
Subject(s) - soliton , langmuir , physics , ponderomotive force , action (physics) , ion , acoustics , nonlinear system , quantum electrodynamics , classical mechanics , computational physics , chemistry , quantum mechanics , aqueous solution
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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