Three-dimensional modulation of electron-acoustic waves: 3+1 Davey–Stewartson system

P. Carbonaro

Chaos, Solitons & Fractals, 2012, vol. 45, issue 7, 959-965

Abstract: In this paper we consider the three-dimensional modulation of an electron-acoustic wave by means of a multiple-scale perturbation method. We find that the governing equation for the amplitude that describes the asymptotic properties of the wave is a Davey–Stewartson system in three-space variables. We use the system to study the linear stability of the modulation wave and we compare our results with preceding studies by Kourakis and Shukla (2004) [8] on the oblique modulation problem based on a non-linear Schrödinger equation.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:7:p:959-965

DOI: 10.1016/j.chaos.2012.03.008

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