Exact solitary solution of Schamel equation in plasmas with negative ions
- Mathematics Department, Faculty of Education, Dammam University, P.O. 2375, Dammam 31451 (Saudi Arabia) and Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511 (Egypt)
A theoretical investigation is carried out for understanding the properties of the solitary solution in plasmas with negative ions. Schamel equation for a plasma consisting of electron, positive ions and negative ions has been derived by using the reductive perturbation method. The effects of negative ions and the density on the properties of the solitary solution is discussed. We make use of the extended mapping method and auxiliary equation to obtain the solution of Schamel equation. This solution includes the Jacobi elliptic function solutions, hyperbolic function solutions, rational solutions, and periodic wave solutions. Furthermore, we show that the incorporate negative ion effects in the nonlinear propagation of ion acoustic waves that are controlled by trapped electrons and the results of the solitary solution in plasmas with negative ions model are discussed.
- OSTI ID:
- 22047057
- Journal Information:
- Physics of Plasmas, Vol. 18, Issue 11; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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