English

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

patt-sol 2008-02-03 v1 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.patt-sol/9404002,
  title  = {KdV shock-like waves as invariant solutions of KdV equation symmetries},
  author = {Vadim R. Kudashev},
  journal= {arXiv preprint arXiv:patt-sol/9404002},
  year   = {2008}
}

Comments

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