Solutions of a fourth-order differential equation describing mode conversion in a magnetized plasma

DOI10.1063/1.526277zbMath0599.76144OpenAlexW1981020968WikidataQ115332314 ScholiaQ115332314MaRDI QIDQ3735375

J. E. Maggs, A. jun. Baños, Gerard John Alva Morales

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526277

zbMATH Keywords

singularitypower seriesturning pointplasma resonancesecond-order equationmagnetized plasmaconfluent hypergeometric functionsAiry functionsmode conversionintegral representations of solutionsboundary layer phenomenaa fourth-order differential equationhigh frequency electrostatic wavesLaplace integral techniquelongitudinal density gradient

Mathematics Subject Classification ID

Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• Asymptotic solutions of \(\mu^{IV} + \lambda^2 (z \mu\prime\prime + \alpha \mu\prime + \beta \mu) = 0\) for large \(\mid\lambda\mid\)
• Asymptotic solution of the differential equation of hydrodynamic stability in a domain containing a transition point

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