Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma | ||||
| Assiut University Journal of Multidisciplinary Scientific Research | ||||
| Volume 51, Issue 2, May 2022, Page 115-134 PDF (372.98 K) | ||||
| Document Type: Novel Research Articles | ||||
| DOI: 10.21608/aunj.2022.234650 | ||||
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| Abstract | ||||
| In this paper, we apply the extended Kudryashov method to construct some new exact solitary wave solutions of three important physical models, Schamel-nonlinear Schrödinger (S-NLS) equation, Schamel Korteweg-de Vries (S-KdV) equation, Schamel Korteweg-de Vries Burgers (S-KdVB) equation. In addition, this method is applied to seek solutions of Schamel equation modeling ion-acoustic waves in plasma and dust plasma. With the aid of symbolic computation, explicit exact solutions of these equations are expressed in terms of the hyperbolic functions, the trigonometric functions, and the exponential function. The stability of some exact solutions is computationally studied. | ||||
| Keywords | ||||
| The extended Kudryashov method; Nonlinear evolution equation; Exact solution; Schamel equations; Ion-acoustic waves | ||||
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