New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics

Souichi Murata

Chaos, Solitons & Fractals, 2005, vol. 24, issue 2, 579-582

Abstract: In this paper, we present a new method to obtain a new class of symmetries and invariant solution associated with the symmetries. The key point of our method is to find symmetry group of point transformations on a special solution. To demonstrate our method, we consider a spherically symmetric dynamics of an adiabatic gases, which describes a contracting and expanding localized mass of gas.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:2:p:579-582

DOI: 10.1016/j.chaos.2004.09.086

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