New class of symmetries for self-gravitating hydrodynamics equations

2004/09/09 by Souichi Murata, Murata, Souichi, Kazuhiro Nozaki +1
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #Aquatic and Environmental Studies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Geophysics and Gravity Measurements #Methane Hydrates and Related Phenomena #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0409020

arxiv created 2004/09/09 · openalex publication_date 2004/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A method of calculating a new class of symmetries is presented for partial differential equations. The method give 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 motion-less state to states of expansion and oscillation.

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