FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 93-139

On the geometric interpretation of solutions of a system generalizing the sine-Gordon equation

A. V. Bad'in

Abstract

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We propose a geometric interpretation of solutions of the system generalizing the well-known sine-Gordon equation. We prove that to any solution of the Efimov--Poznyak system in a simply-connected domain, a $C3$-smooth singular surface with given first fundamrntal bilinear form corresponds.

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Last modified: April 27, 2005