Nonlinear modulation of travelling rolls in magnetoconvection

✍ Scribed by Ken-ichi Matsuba; Kenji Imai; Kazuhiro Nozaki

• Book ID: 104297238
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 264 KB
• Volume: 107
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00034-1

✦ Synopsis

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.