Quasiclassical generalized Weierstrass representation and dispersionless DS equation

Details Quasiclassical generalized Weierstrass representation and dispersionless DS equation Quasiclassical generalized Weierstrass representation and dispersionless DS equation

2007-09-26

arxiv.org/abs/0709.4148v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, talk given at the workshop "Solitons, collapses and turbulence",May 15-17, 2007, Chernogolovka, Russia

Scientific paper

10.1088/1751-8113/40/46/F03

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.

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