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A Pair of Zakharov Equations with Collisional Damping and the Motion of Langmuir Soliton
Author(s) -
Bhakta J. C.
Publication year - 1986
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19860260205
Subject(s) - physics , soliton , ordinary differential equation , equations of motion , classical mechanics , motion (physics) , differential equation , nonlinear system , mechanics , quantum electrodynamics , quantum mechanics
Abstract The effects of collisional damping on high frequency Langmuir wave and low frequency ion‐acoustic wave have been investigated. It is found that the governing equations for the waves are a pair of Zakharov equations with a damping term in each equation. By using the treatment which consists of approximate solutions of the balance equations, a set of first order ordinary differential equations have been derived for the solution parameters in order to study the motion of Zakharov solitons in presence of damping. It has been shown that the width of the soliton remains constant throughout the motion.