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Journal of Vibration Testing and System Dynamics 7(1) (2023) 49--58 | DOI:10.5890/JVTSD.2023.03.007

P.~Siriwat$^1$, S. V. Meleshko$^2$

$^1$ School of Science, Mae Fah Luang University, Chiang Rai, 57100, Thailand

$^2$ School of Mathematics, Institute of Science, Suranaree University of Technology, 30000, Thailand

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Abstract

A new method for constructing reciprocal transformations is proposed. The method uses the same steps as for finding equivalence group of transformations. It provides a systematic tool for finding classes of reciprocal transformations. As an illustration the method is applied to the one-dimensional gas dynamics equations, and new reciprocal transformations are found.

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