English

On symmetries of KdV-like evolution equations

Analysis of PDEs 2007-05-23 v3

Abstract

The xx-dependence of the symmetries of (1+1)-dimensional scalar translationally invariant evolution equations is described. The sufficient condition of (quasi)polynomiality in time tt of the symmetries of evolution equations with constant separant is found. The general form of time dependence of the symmetries of KdV-like non-linearizable evolution equations is presented.

Cite

@article{arxiv.math/9805105,
  title  = {On symmetries of KdV-like evolution equations},
  author = {Artur Sergyeyev},
  journal= {arXiv preprint arXiv:math/9805105},
  year   = {2007}
}

Comments

LaTeX, 8 pages, no figures, very minor changes

R2 v1 2026-07-22T17:58:38.339Z