New class of symmetries for self-gravitating hydrodynamics equations

Souichi Murata and Kazuhiro Nozaki

Chaos, Solitons & Fractals, 2007, vol. 32, issue 4, 1316-1324

Abstract: A method of calculating a new class of symmetries is presented for partial differential equations. The method gives a new dynamical solution for an isothermal and cylindrically symmetric hydrodynamics equations under self-gravity. The solution describes a development of a gas cylinder from a motionless state to states of expansion and oscillation.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:4:p:1316-1324

DOI: 10.1016/j.chaos.2005.11.103

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