Abstract:
The focusing nonlinear Schrödinger equation with boundary conditions of “finite density” as |x|→∞ is considered. The complex theory of Whitham deformations is used for studying the asymptotics of its solution as t→∞. Bibliography: 25 titles.
Citation:
R. F. Bikbaev, “Complex Whitham-deformations in problems with “integrable instability””, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 87–121; J. Math. Sci. (New York), 88:2 (1998), 162–184
\Bibitem{Bik95}
\by R.~F.~Bikbaev
\paper Complex Whitham-deformations in problems with ``integrable instability''
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 87--121
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364844}
\zmath{https://zbmath.org/?q=an:0899.35105|0886.35142}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 162--184
\crossref{https://doi.org/10.1007/BF02364978}
Linking options:
https://www.mathnet.ru/eng/znsl4435
https://www.mathnet.ru/eng/znsl/v224/p87
This publication is cited in the following 1 articles:
Zhaoyu Wang, Kai Xu, Engui Fan, “The complex MKDV equation with step-like initial data: Large time asymptotic analysis”, Journal of Mathematical Physics, 64:10 (2023)
Citation in format AMSBIB
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