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

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  • Murata, Souichi

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.

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  • Murata, Souichi, 2005. "New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 579-582.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:2:p:579-582
    DOI: 10.1016/j.chaos.2004.09.086
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    Cited by:

    1. Rashed, A.S., 2019. "Analysis of (3+1)-dimensional unsteady gas flow using optimal system of Lie symmetries," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 327-346.

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