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Teoreticheskaya i Matematicheskaya Fizika, 1978, Volume 36, Number 3, Pages 345–351 (Mi tmf3086)  
This article is cited in 6 scientific papers (total in 6 papers)

Generalized solitons of the Schrödinger equation with unitary nonlinearity

Vo Khan' Fuk, V. M. Chetverikov
Full-text PDF (871 kB) Citations (6)
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Abstract: Schrödinger equations containing a nonlinear integral term are considered. For some types of “self-interaction potential” an exact solution of soliton type is constructed. An example is given for obtaining an almost-solution in the asymptotic sense by means of harmonic approximation of the potential. A diagram technique is proposed for solving the Cauchy problem perturbatively.
Received: 19.10.1977
English version:
Theoretical and Mathematical Physics, 1978, Volume 36, Issue 3, Pages 779–783
DOI: https://doi.org/10.1007/BF01035754
Bibliographic databases:
Language: Russian
Citation: Vo Khan' Fuk, V. M. Chetverikov, “Generalized solitons of the Schrödinger equation with unitary nonlinearity”, TMF, 36:3 (1978), 345–351; Theoret. and Math. Phys., 36:3 (1978), 779–783
Citation in format AMSBIB
\Bibitem{VoChe78}
\by Vo~Khan'~Fuk, V.~M.~Chetverikov
\paper Generalized solitons of the Schr\"odinger equation with unitary nonlinearity
\jour TMF
\yr 1978
\vol 36
\issue 3
\pages 345--351
\mathnet{http://mi.mathnet.ru/tmf3086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=511317}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 3
\pages 779--783
\crossref{https://doi.org/10.1007/BF01035754}
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  • https://www.mathnet.ru/eng/tmf/v36/i3/p345
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:66
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