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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 84, Pages 108–113 (Mi znsl2936)  

Quasi-classical soliton-type solutions of Hartry equations

M. V. Karasev, V. P. Maslov
Abstract: Three-dimensional Hartry equations $ih\,\partial{\psi}/\partial{t}=-h^2\Delta\psi+U\psi$, $\Delta U=|\psi|^2$, are discussed. Asymptotic ($h\to0$) solutions $\psi$ of soliton type, localized $\operatorname{mod}0(h^\infty)$ in a compact domain are constructed. The corresponding asymptotics for the potential are obtained. Quantization conditions for the energy of the soliton are found.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 3, Pages 328–332
DOI: https://doi.org/10.1007/BF01660588
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: M. V. Karasev, V. P. Maslov, “Quasi-classical soliton-type solutions of Hartry equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Zap. Nauchn. Sem. LOMI, 84, "Nauka", Leningrad. Otdel., Leningrad, 1979, 108–113; J. Soviet Math., 21:3 (1983), 328–332
Citation in format AMSBIB
\Bibitem{KarMas79}
\by M.~V.~Karasev, V.~P.~Maslov
\paper Quasi-classical soliton-type solutions of Hartry equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 84
\pages 108--113
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2936}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=557029}
\zmath{https://zbmath.org/?q=an:0414.35067|0515.35081}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 3
\pages 328--332
\crossref{https://doi.org/10.1007/BF01660588}
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