English

Bianchi surfaces. Integrability in arbitrary parametrization

Exactly Solvable and Integrable Systems 2007-05-23 v1 Pattern Formation and Solitons

Abstract

We discuss integrability of normal field equations of arbitrary parametrised Bianchi surfaces. A novel geometric definition of Bianchi surfaces is presented as well as B\"acklund transformation for the normal field equations in arbitrary chosen surface parametrization.

Cite

@article{arxiv.nlin/0607054,
  title  = {Bianchi surfaces. Integrability in arbitrary parametrization},
  author = {Maciej Nieszporski and Antoni Sym},
  journal= {arXiv preprint arXiv:nlin/0607054},
  year   = {2007}
}