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

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

1994-04-07

arxiv.org/abs/patt-sol/9404002v1

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, LaTEX, version 2.09, submitted to Phys. Lett. A

Scientific paper

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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