Nonlinear Modulation of Travelling Rolls in Magnetoconvection
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
Abstract
Modulational dynamics of oscillatory travelling rolls in magnetoconvection is studied near the onset of a Hopf bifurcation. Using weakly nonlinear analysis, we derive an envelope equation of oscillatory travelling rolls in the plane perpendicular to an ambient vertical magnetic field.The envelope equation is the Davey-Stewartson (DS) equation with complex coefficients, from which we obtain criteria for the modulational (Benjamin-Feir) instability of oscillatory travelling rolls.
Keywords
Cite
@article{arxiv.patt-sol/9610007,
title = {Nonlinear Modulation of Travelling Rolls in Magnetoconvection},
author = {Ken-ichi Matsuba and Kenji Imai and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:patt-sol/9610007},
year = {2009}
}
Comments
8 pages,latex