A cylindrical Davey-Stewartson equation for a modulated cylindrical wave packet
- College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070 (China)
The modulation of a dust-ion acoustic wave (DIAW) in dusty plasmas with the combined effects of bounded cylindrical geometry and the transverse perturbation are studied. By using the standard reductive perturbation method, a cylindrical Davey-Stewartson (CDS) equation is obtained for the first time. The modulational instability of the DIAW described by the CDS equation is investigated. A new explicit criterion for the modulational instability of the DIAW described by the CDS is obtained. It is shown that the present instability criterion is different from that obtained in a standard nonlinear Schroedinger equation (NLSE), a Davey-Stewartson equation, or a cylindrically symmetric NLSE, and a wider parameter domain for modulational instability exists.
- OSTI ID:
- 20764515
- Journal Information:
- Physics of Plasmas, Vol. 12, Issue 9; Other Information: DOI: 10.1063/1.2048047; (c) 2005 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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