Nonlinear Sigma Model, Zakharov-Shabat Method, and New Exact Forms of the Minimal Surfaces in $R^3$

Published 23 Sep 2014 in nlin.SI, math-ph, math.DG, and math.MP | (1409.6741v1)

Abstract: General formulas for the construction of exact solutions of the equation of the minimal surface in $R^3$, which appears in various physical problems, have been derived by the Zakharov-Shabat "dressing" method. Particular examples are considered.

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E. Sh. Gutshabash

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