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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 84, Pages 108–113
(Mi znsl2936)
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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.
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
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https://www.mathnet.ru/eng/znsl2936 https://www.mathnet.ru/eng/znsl/v84/p108
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Abstract page: | 297 | Full-text PDF : | 88 |
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