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

1994/04/07 by V. R. Kudashev, Vadim R. Kudashev, Kudashev, Vadim R.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #nlin.PS #patt-sol

paper · pdf · doi:10.48550/arxiv.patt-sol/9404002

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

arxiv created 1994/04/07 · openalex publication_date 1994/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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