English

Corrugated surfaces with slow modulation and quasiclassical Weierstrass representation

Exactly Solvable and Integrable Systems 2007-05-23 v1 Differential Geometry

Abstract

Quasiclassical generalized Weierstrass representation for highly corrugated surfaces with slow modulation in the three-dimensional space is proposed. Integrable deformations of such surfaces are described by the dispersionless Veselov-Novikov hierarchy.

Keywords

Cite

@article{arxiv.nlin/0606004,
  title  = {Corrugated surfaces with slow modulation and quasiclassical Weierstrass representation},
  author = {B. G. Konopelchenko},
  journal= {arXiv preprint arXiv:nlin/0606004},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T18:15:29.782Z