Modulational instability and nonlinear evolution of wave envelopes in strongly coupled degenerate plasmas

Autor: A. P. Misra, P. K. Shukla, Padma K. Shukla, José Tito Mendonça, Bengt Eliasson, David Resedes
Rok vydání: 2012
Předmět:
Zdroj: AIP Conference Proceedings.
ISSN: 0094-243X
Popis: We present a theoretical study of the nonlinear propagation of electrostatic wave envelopes in a plasma which consists of strongly coupled ions and relativistically degenerate electrons. A generalized viscoelastic hydrodynamic model is considered, and the standard reductive perturbation technique is used to derive a (3+1)-dimensional coupled nonlocal nonlinear Schrodinger-like equations which describe the dynamics of electrostatic wave packets in strongly coupled degenerate plasmas. The modulational instability of a plane wave is studied, and it is shown that the wave packet is stable to the parallel modulation, whereas it is unstable against the oblique modulation. The stable and unstable regions for both the long-wavelength and short-wavelength modes are obtained in weakly relativistic as well as ultra-relativistic regimes. The coupled set of nonlinear equations is numerically solved, and is shown to exhibit a steady state solution of the wave amplitude as well as the formation of coherent structures in...
Databáze: OpenAIRE