Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces

Author:

Popov A. G.,Maevskii E. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference61 articles.

1. M.-H. Amsler, “Des surfaces a courbure negative constante dans l’espace a trois dimensions et de leurs singularites,” Math. Ann., 3, 234–256 (1955).

2. V. A. Andreev and Yu. V. Brezhnev, “Darboux transformation, positons and general superposition formula for the sine-Gordon equation,” Phys. Lett. A, 207, 58–66 (1995).

3. I. Ya. Bakel’man, A. L. Verner, and B. E. Kantor, Introduction to Differential Geometry “in the Whole” [in Russian], Nauka, Moscow (1973).

4. E. Beltrami, “Sulla superficie di rotazione che serve di tipo alle superficie pseudosferiche,” Giorn. Mat., 10, Op. 2 (1872).

5. L. Bianchi, Lezioni di Geometria Differenziale, Bologna (1927).

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