2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153202We 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.7 pages, LaTEX, version 2.09, submitted to Phys. Lett. APattern Formation and Solitonstext