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KdV shock-like waves as invariant solutions of KdV equation symmetries

Vadim R. Kudashev
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Abstract

We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.

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Vadim R. Kudashev. 1994-04-07. KdV shock-like waves as invariant solutions of KdV equation symmetries. https://arxiv.org/abs/patt-sol/9404002

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