Ion-acoustic dark solitons collision in an ultracold neutral plasma. (24th July 2015)

• Record Type: Journal Article
• Authors: El-Tantawy, S A; Moslem, W M; Schlickeiser, R
• Is Part Of: Physica scripta. Volume 90:Number 8(2015:Aug.)
• Publication Date: 2015-07-24
• Subjects: ion-acoustic waves -- dark solitons collision -- nonlinear Schrödinger equation; Physics -- Periodicals; 530.05
• DOI: 10.1088/0031-8949/90/8/085606
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: Dark solitons collision in an ultracold neutral plasma in the framework of the phenomenological generalized hydrodynamic model is reported. The derivative expansion method is used to derive a nonlinear Schrödinger equation for describing the low frequency modulation. The critical wavenumber k c, which indicates where the modulational instability sets in, is determined precisely. Also, the modulationally stable and unstable regions are obtained for a wide range of the wavenumber k and the ions effective temperature ratio . In the stable regions, the collisions between two-dark solitons are investigated using the extended Poincaré–Lighthill–Kuo method and their corresponding phase shifts are derived. The dependence of both and k on the phase shift is examined.