New class of symmetries for self-gravitating hydrodynamics equations

Details New class of symmetries for self-gravitating hydrodynamics equations New class of symmetries for self-gravitating hydrodynamics equations

2004-09-09

arxiv.org/abs/nlin/0409020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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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