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Exact Solutions of The Shamel-Korteweg-de Vries Equation With Time Dependent Coefficients |
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PP: 103-109 |
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Author(s) |
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H. I. Abdel-Gawad,
Mohamed Tantawy,
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Abstract |
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| In this paper, we present the Shamel-Korteweg-de Vries (S-KdV) equation which play an important role in studying the
effect of electron trapping on the nonlinear interaction of ion-acoustic waves by including a quasi-potential. Here, a wide class of exact
solutions to this equation with time dependent coefficients is found. It is shown that, the traveling wave solutions exist and they travel
with time-dependent speed along the characteristic curves. The class of the obtained solutions is classified to different wave structures:
periodic, elliptic or interaction of soliton, kink and anti-kink waves. The method used in this work is the extended unified method which
was presented by one of the authors. |
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