The behavior of level lines z = mπ of multi-soliton solutions of the sine-Gordon equation is considered.
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P. L. Chebyshev, “Über den Schnitt von Bekleidungen,” Usp. Mat. Nauk, 1, No. 2, pp. 38–42 (1946).
D. Hilbert, Foundations of Geometry [Russian translation], Moscow-Leningrad (1948).
E. N. Pelinovsky, “Some methods in the theory of nonlinear waves,” Radiophysics, 5, 883–901 (1976).
E. G. Poznyak, “Geometric interpretation of regular solutions of the equation z xy = sin z,” Differ. Uravn., 15, No. 7, 1332–1336 (1979).
E. G. Poznyak and A. G. Popov, “Geometry of the sine-Gordon equation,” Probl. Geom., 23, 99–130 (1991).
Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 11, No. 1, Geometry, 2005.
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Viktorova, O.D. On the multiply connectedness of level lines mπ of n-soliton solutions of the sine-Gordon equation. J Math Sci 141, 1081–1086 (2007). https://doi.org/10.1007/s10958-007-0036-2
- Regular Solution
- Soliton Solution
- Level Line
- Isometric Immersion
- Constant Negative Curvature