Quasiclassical generalized Weierstrass representation and dispersionless DS equation
Exactly Solvable and Integrable Systems
2009-11-13 v1 Differential Geometry
Abstract
Quasiclassical generalized Weierstrass representation (GWR) for highly corrugated surfaces with slow modulation in the four-dimensional Euclidean space is proposed. Integrable deformations of such surfaces are described by the dispersionless Davey-Stewartson hierarchy. Quasiclassical GWRs for other four-dimensional spaces and dispersionless DS system are discussed too.
Cite
@article{arxiv.0709.4148,
title = {Quasiclassical generalized Weierstrass representation and dispersionless DS equation},
author = {B. G. Konopelchenko},
journal= {arXiv preprint arXiv:0709.4148},
year = {2009}
}
Comments
13 pages, talk given at the workshop "Solitons, collapses and turbulence",May 15-17, 2007, Chernogolovka, Russia