English

The Cole-Hopf and Miura transformations revisited

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

Abstract

An elementary yet remarkable similarity between the Cole-Hopf transformation relating the Burgers and heat equation and Miura's transformation connecting the KdV and mKdV equations is studied in detail.

Keywords

Cite

@article{arxiv.solv-int/9812025,
  title  = {The Cole-Hopf and Miura transformations revisited},
  author = {Fritz Gesztesy and Helge Holden},
  journal= {arXiv preprint arXiv:solv-int/9812025},
  year   = {2007}
}

Comments

LaTeX, 11 pages