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

E. Sh. Gutshabash

doi:10.1134/S0021364014120078

paper

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

arXiv:1409.6741 · doi:10.1134/S0021364014120078

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.

8 pages

References in corpus (1)

Multi-String Solutions by Soliton Methods in De Sitter Spacetime

Nonlinear Sigma Model, Zakharov-Shabat Method, and New Exact Forms of the Minimal Surfaces in R3

Abstract

References in corpus (1)

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