Quasiclassical generalized Weierstrass representation and dispersionless DS equation
classification
🌊 nlin.SI
math.DG
keywords
dispersionlessquasiclassicalfour-dimensionalgeneralizedrepresentationsurfacesweierstrasscorrugated
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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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