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Nonlinearly coupled Langmuir and dust-acoustic waves in a dusty plasma

Published online by Cambridge University Press:  01 October 1998

S. V. SINGH
Affiliation:
Theoretical Physics Division, Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
N. N. RAO
Affiliation:
Theoretical Physics Division, Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
P. K. SHUKLA
Affiliation:
Institute für Theoretische Physik-IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany

Abstract

The nonlinear propagation of coupled Langmuir and dust-acoustic waves in a multi-component dusty plasma is considered. The coupled mode propagation is described by a Schrödinger–Boussinesq system, which reduces to the Schrödinger–KdV system for unidirectional wave propagation. For stationary propagation, the coupled waves are governed by a generic Hamiltonian that is integrable in both sub- and the supersonic regimes of Mach number. Depending on the parameter regimes, exact analytical solutions for the coupled waves having single-, double- and triple-hump structures for the Langmuir field intensity are obtained. The exact governing equations for large-amplitude waves are also derived, and are solved approximately. The existence conditions for large-amplitude localized solutions in the quasineutral limit are discussed.

Type
Research Article
Copyright
1998 Cambridge University Press

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