Quasiclassical generalized Weierstrass representation and dispersionless DS equation
arXiv:0709.4148 · doi:10.1088/1751-8113/40/46/F03
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.
13 pages, talk given at the workshop "Solitons, collapses and turbulence",May 15-17, 2007, Chernogolovka, Russia