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Corrugated surfaces with slow modulation and quasiclassical Weierstrass representation

B. G. Konopelchenko
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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.

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B. G. Konopelchenko. 2006-06-01. Corrugated surfaces with slow modulation and quasiclassical Weierstrass representation. https://arxiv.org/abs/nlin/0606004

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