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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k051/k05104h.htm

Last modified: April 27, 2005