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Nonlinear Modulation of Travelling Rolls in Magnetoconvection

Ken-ichi Matsuba·Kenji Imai·Kazuhiro Nozaki
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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.

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Ken-ichi Matsuba, Kenji Imai, Kazuhiro Nozaki. 1996-10-08. Nonlinear Modulation of Travelling Rolls in Magnetoconvection. https://doi.org/10.1016/s0167-2789(97)00034-1

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