dorsal/arxiv
View SchemaNonlinear Modulation of Travelling Rolls in Magnetoconvection
| Authors | Ken-ichi Matsuba, Kenji Imai, Kazuhiro Nozaki |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9610007 |
| URL | https://arxiv.org/abs/patt-sol/9610007 |
| DOI | 10.1016/S0167-2789(97)00034-1 |
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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"abstract": "Modulational dynamics of oscillatory travelling rolls in magnetoconvection is\nstudied near the onset of a Hopf bifurcation. Using weakly nonlinear analysis,\nwe derive an envelope equation of oscillatory travelling rolls in the plane\nperpendicular to an ambient vertical magnetic field.The envelope equation is\nthe Davey-Stewartson (DS) equation with complex coefficients, from which we\nobtain criteria for the modulational (Benjamin-Feir) instability of oscillatory\ntravelling rolls.",
"arxiv_id": "patt-sol/9610007",
"authors": [
"Ken-ichi Matsuba",
"Kenji Imai",
"Kazuhiro Nozaki"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(97)00034-1",
"title": "Nonlinear Modulation of Travelling Rolls in Magnetoconvection",
"url": "https://arxiv.org/abs/patt-sol/9610007"
},
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