Nonlinear Modulation of Travelling Rolls in Magnetoconvection

Details Nonlinear Modulation of Travelling Rolls in Magnetoconvection Nonlinear Modulation of Travelling Rolls in Magnetoconvection

1996-10-08

arxiv.org/abs/patt-sol/9610007v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages,latex

Scientific paper

10.1016/S0167-2789(97)00034-1

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.

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