E. Sh. Gutshabash, “Nonlinear sigma model, Zakharov–Shabat method, and new exact forms of the minimal surfaces in <nobr>${\mathbb R}^3$</nobr>”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 99, Issue 12,Pages <nobr>827

This article is cited in 2 papers

METHODS OF THEORETICAL PHYSICS

Nonlinear sigma model, Zakharov–Shabat method, and new exact forms of the minimal surfaces in ${\mathbb R}^3$

E. Sh. Gutshabash

St. Petersburg State University, Faculty of Physics

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

Received: 08.05.2014

DOI: 10.7868/S0370274X14120091