(2022). Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma. test, 51(2), 115-134. doi: 10.21608/aunj.2022.234650
. "Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma". test, 51, 2, 2022, 115-134. doi: 10.21608/aunj.2022.234650
(2022). 'Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma', test, 51(2), pp. 115-134. doi: 10.21608/aunj.2022.234650
Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma. test, 2022; 51(2): 115-134. doi: 10.21608/aunj.2022.234650

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, Pages 115-134    PDF (372.98 K)
Document Type: Novel Research Articles
DOI: 10.21608/aunj.2022.234650
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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