New class of symmetries for self-gravitating hydrodynamics equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.nlin/0409020,
title = {New class of symmetries for self-gravitating hydrodynamics equations},
author = {Souichi Murata and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:nlin/0409020},
year = {2007}
}