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Teoreticheskaya i Matematicheskaya Fizika, 1978, Volume 36, Number 3, Pages 345–351
(Mi tmf3086)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf3086 https://www.mathnet.ru/eng/tmf/v36/i3/p345
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Abstract page: | 388 | Full-text PDF : | 140 | References: | 69 | First page: | 1 |
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