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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 2, Pages 199–206
(Mi tmf5051)
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This article is cited in 4 scientific papers (total in 4 papers)
Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism
V. G. Mikhalev
Abstract:
A method is proposed for investigating the solutions of the weakly
perturbed sine–Gordon equation by means of action–angle variables.
The Green's function of radiation on the background of many-soliton
solutions is calculated in the first approximation in the amplitude.
The dynamics of one- and two-soliton solutions is investigated. The Landau–Lifshitz equation (including the nonintegrable modifications) is reduced in a special case to the perturbed sine–Gordon equation. Some solutions are investigated.
Received: 29.09.1987
Citation:
V. G. Mikhalev, “Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism”, TMF, 76:2 (1988), 199–206; Theoret. and Math. Phys., 76:2 (1988), 804–809
Linking options:
https://www.mathnet.ru/eng/tmf5051 https://www.mathnet.ru/eng/tmf/v76/i2/p199
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