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 Dokl. Akad. Nauk SSSR, 1982, Volume 265, Number 6, Pages 1302–1306 (Mi dan45522)

MATHEMATICS

“Isomonodromic” solutions of the sine-Gordon equation and the time asymptotics of its rapidly decreasing solutions

A. R. Its, V. È. Petrov

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Bibliographic databases:
UDC: 517.946
Presented: Ë. Ä. Ôàääååâ

Citation: A. R. Its, V. È. Petrov, ““Isomonodromic” solutions of the sine-Gordon equation and the time asymptotics of its rapidly decreasing solutions”, Dokl. Akad. Nauk SSSR, 265:6 (1982), 1302–1306

Citation in format AMSBIB
\Bibitem{ItsPet82} \by A.~R.~Its, V.~\E.~Petrov \paper Isomonodromic'' solutions of the sine-Gordon equation and the time asymptotics of its rapidly decreasing solutions \jour Dokl. Akad. Nauk SSSR \yr 1982 \vol 265 \issue 6 \pages 1302--1306 \mathnet{http://mi.mathnet.ru/dan45522} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0670693} \zmath{https://zbmath.org/?q=an:0588.35076} `

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. Yu. Novokshenov, “Method of isomonodromy deformations and asymptotics of the third Painlevé transcendent”, Funct. Anal. Appl., 18:3 (1984), 260–262
2. A. R. Its, ““Isomonodromy” solutions of equations of zero curvature”, Math. USSR-Izv., 26:3 (1986), 497–529
3. A. V. Kitaev, “Self-similar solutions of the modified nonlinear Schrödinger equation”, Theoret. and Math. Phys., 64:3 (1985), 878–894
4. A. V. Kitaev, “The method of isomonodromy deformations and the asymptotics of solutions of the “complete” third Painlevé equation”, Math. USSR-Sb., 62:2 (1989), 421–444
5. E. A. Moskovchenko, “Simple periodic boundary data and Riemann–Hilbert problem for integrable model of the stimulated Raman scattering”, Zhurn. matem. fiz., anal., geom., 5:1 (2009), 82–103
6. E. A. Moskovchenko, V. P. Kotlyarov, “Long-time asymptotic behavior of an integrable model of the stimulated Raman scattering with periodic boundary data”, Zhurn. matem. fiz., anal., geom., 5:4 (2009), 386–395
7. V. V. Kiselev, “Asymptotic behavior of dispersive waves in a spiral structure at large times”, Theoret. and Math. Phys., 187:1 (2016), 463–478