Similarity solutions for the Ernst equations with electromagnetic fields

Kaliappan, P. ; Lakshmanan, M. (1981) Similarity solutions for the Ernst equations with electromagnetic fields Journal of Mathematical Physics, 22 (11). pp. 2447-2451. ISSN 0022-2488

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Official URL: http://link.aip.org/link/?JMAPAQ/22/2447/1

Related URL: http://dx.doi.org/10.1063/1.524802

Abstract

A class of exact similarity solutions is shown to exist for the Ernst equations with electromagnetic fields. We reduce the underlying coupled nonlinear partial differential equations for the potentials into a system of coupled ordinary nonlinear differential equations for the similarity variables. The reduced system is exactly solvable in terms of elementary functions. These solutions are bounded everywhere.

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Deposited On:22 Nov 2010 12:22
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