Poznyak, Eh. G.; Popov, A. G. The sine-Gordon equation: geometry and physics. (Uravnenie sinus-Gordona: geometriya i fizika.) (Russian) Zbl 0790.53002 Novoe v Zhizni, Nauke, Tekhnike. Seriya Matematika, Kibernetika. 91-6. Moskva: Znanie. 45 p. (1991). The paper consists of three sections (1. Basic notions of surface theory, 2. Pseudospherical surfaces vs sine-Gordon equation, 3. Applications) and a summary. Cited in 2 Documents MSC: 53A05 Surfaces in Euclidean and related spaces 35L70 Second-order nonlinear hyperbolic equations 53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations 35Q53 KdV equations (Korteweg-de Vries equations) 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) PDFBibTeX XMLCite \textit{Eh. G. Poznyak} and \textit{A. G. Popov}, Uravnenie sinus-Gordona: geometriya i fizika (Russian). Moskva: Znanie (1991; Zbl 0790.53002)