Eur. Phys. J. D 64, 375-386 (2011)
https://doi.org/10.1140/epjd/e2011-20135-y

Regular Article

Arbitrary amplitude dust acoustic solitary waves in a dusty plasma with an ion beam

¹ Department of Physics, Faculty of Science, Damietta Branch, Mansoura University, Damietta El-Gedida, P.O. 34517, Egypt
² Department of Physics, College of Education for Girls at Abha (Scientific Departments), King Khaled University, Abha, P.O. 142, Kingdom of Saudi Arabia
³ Department of Mathematics, Faculty of Science, Damietta Branch, Mansoura University, Damietta El-Gedida, P.O. 34517, Egypt

^a e-mail: eltaibany@hotmail.com

Received: 2 March 2011
Received in final form: 25 April 2011
Published online: 23 August 2011

Abstract

Propagation regimes of an arbitrary amplitude dust acoustic solitary wave in a dusty plasma with an ion beam are analyzed by employing the Sagdeev potential technique. Two domains of the Mach numbers are defined depending on the ion beam and plasma parameters. Only a rarefactive soliton solution is found in a low velocity regime. Numerical solutions are presented that illustrate the dependence of soliton characteristics on practically interesting plasma and ion beam parameters. The findings of this investigation could be useful in understanding the nonlinear interaction of external ion beam and dusty plasma observed in laboratory plasma experiments.