English

Localized induction equation and pseudospherical surfaces

solv-int 2009-10-28 v1 High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

We describe a close connection between the localized induction equation hierarchy of integrable evolution equations on space curves, and surfaces of constant negative Gauss curvature.

Keywords

Cite

@article{arxiv.solv-int/9406001,
  title  = {Localized induction equation and pseudospherical surfaces},
  author = {Ron Perline},
  journal= {arXiv preprint arXiv:solv-int/9406001},
  year   = {2009}
}

Comments

21 pages, AMSTeX file. To appear in Journal of Physics A: Mathematical and General