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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 79, Issue 1, Pages 19–24
(Mi jetpl2198)
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NONLINEAR DYNAMICS
Quasilinear theory for the nonlinear Schrödinger equation with periodic coefficients
S. B. Medvedev, M. P. Fedoruk Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
The nonlinear Schrödinger equation with periodic coefficients is analyzed under the condition of large variation in the local dispersion. The solution after $n$ periods is represented as the sum of the solution to the linear part of the nonlinear Schrödinger equation and the nonlinear first-period correction multiplied by the number of periods $n$. An algorithm for calculating the quasilinear solution with arbitrary initial conditions is proposed. The nonlinear correction to the solution for a sequence of Gaussian pulses is obtained in the explicit form.
Received: 30.10.2003 Revised: 05.12.2003
Citation:
S. B. Medvedev, M. P. Fedoruk, “Quasilinear theory for the nonlinear Schrödinger equation with periodic coefficients”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:1 (2004), 19–24; JETP Letters, 79:1 (2004), 16–20
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https://www.mathnet.ru/eng/jetpl2198 https://www.mathnet.ru/eng/jetpl/v79/i1/p19
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Abstract page: | 263 | Full-text PDF : | 94 | References: | 39 |
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