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Excitation of Convective Cells by Nonlinear Interaction of Interchange Mode
Author(s) -
Majumdar D.
Publication year - 1987
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.19870270205
Subject(s) - modulational instability , perturbation (astronomy) , nonlinear system , physics , dispersion relation , convection , instability , excitation , convective instability , boundary value problem , mathematical analysis , quantum electrodynamics , mechanics , mathematics , optics , quantum mechanics
Convective Cell formation due to nonlinear interaction of interchange mode is studied using multiple time and space scales. Basic interchange mode equation is modified to obtain nonlinear localized structure with modulational perturbation in the drift direction and periodic boundary condition for the perturbation in the direction of the density gradient. To study modulational instability we have deduced nonlinear evolution equation for the first order perturbation from third order secularity elimination condition. Modulational instability, which is responsible for localized structure, is studied in two limits of the dispersion relation.