Fundamentalnaya i Prikladnaya Matematika
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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 1, Pages 93–139 (Mi fpm799)  
On the geometric interpretation of solutions of a system generalizing the sine-Gordon equation

A. V. Bad'in

M. V. Lomonosov Moscow State University
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Abstract: 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 $C^{3}$-smooth singular surface with given first fundamrntal bilinear form corresponds.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 1, Pages 970–1003
DOI: https://doi.org/10.1007/s10958-007-0026-4
Bibliographic databases:
UDC: 514.75
Language: Russian
Citation: A. V. Bad'in, “On the geometric interpretation of solutions of a system generalizing the sine-Gordon equation”, Fundam. Prikl. Mat., 11:1 (2005), 93–139; J. Math. Sci., 141:1 (2007), 970–1003
Citation in format AMSBIB
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\paper On the geometric interpretation of solutions of a~system generalizing the sine-Gordon equation
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 1
\pages 93--139
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\transl
\jour J. Math. Sci.
\yr 2007
\vol 141
\issue 1
\pages 970--1003
\crossref{https://doi.org/10.1007/s10958-007-0026-4}
\elib{https://elibrary.ru/item.asp?id=13534586}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846630289}
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    		Фундаментальная и прикладная математика
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