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Three Coupled Nonlinear Schrödinger Equations for Two Transverse and One Langmuir Waves and the Stability of Their Solitary Wave Solutions
Author(s) -
Bhakta J. C.,
Majumder D.
Publication year - 1985
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.19850250103
Subject(s) - physics , transverse plane , envelope (radar) , transverse wave , longitudinal wave , nonlinear system , stability (learning theory) , classical mechanics , wave propagation , space (punctuation) , quantum electrodynamics , quantum mechanics , telecommunications , radar , structural engineering , machine learning , computer science , engineering , linguistics , philosophy
Three Coupled nonlinear Schrödinger equations for two transverse and one longitudinal waves has been derived. These equations have been derived using two space time scale techniques. It is shown that even without the effect of relativistic mass variation and ion contribution, all three waves may propagate in the form of localized solitary envelope with a common velocity for small values of the transverse wave numbers and the longitudinal wave number far exceeding k D √ m e / m i . Stability analysis of the localized solitary wave form reveals that these wave forms are stable.