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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 140, Pages 36–40
(Mi znsl4069)
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This article is cited in 1 scientific paper (total in 1 paper)
Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
S. A. Vakulenko
Abstract:
A change of variables is constructed for a class of weakly nonlinear Hamiltonian systems which makes it possible to reduce the order of the nonlinearity from $O(\varepsilon)$ to $O(\varepsilon^2)$ and to construct asymptotic solutions. The results can be applied to some nonlinear partial differential equations of interest in physics.
Citation:
S. A. Vakulenko, “Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems”, Mathematical problems in the theory of wave propagation. Part 14, Zap. Nauchn. Sem. LOMI, 140, "Nauka", Leningrad. Otdel., Leningrad, 1984, 36–40; J. Soviet Math., 32:2 (1986), 125–128
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https://www.mathnet.ru/eng/znsl4069 https://www.mathnet.ru/eng/znsl/v140/p36
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Abstract page: | 112 | Full-text PDF : | 32 |
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