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Письма в Журнал экспериментальной и теоретической физики, 2011, том 94, выпуск 12, страницы 921–925
(Mi jetpl2402)
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Эта публикация цитируется в 14 научных статьях (всего в 14 статьях)
ПЛАЗМА, ГИДРО- И ГАЗОДИНАМИКА
Hamiltonian form and solitary waves of the spatial Dysthe equations
F. Fedeleab, D. S. Dutykhc a School of Civil and Environmental Engineering, Georgia Institute of Technology
b School of Electrical and Computer Engineering, Georgia Institute of Technology
c Universite de Savoie
Аннотация:
The spatial Dysthe equations describe the envelope evolution of
the free-surface and potential of gravity waves in deep waters. Their
Hamiltonian structure and new invariants are unveiled by means of a gauge
transformation to a new canonical form of the evolution equations. An
accurate Fourier-type spectral scheme is used to solve for the wave dynamics
and validate the new conservation laws, which are satisfied up to machine
precision. Moreover, traveling waves are numerically constructed using the
Petviashvili method. It is shown that their collision appears inelastic,
suggesting the non-integrability of the Dysthe equations.
Поступила в редакцию: 17.10.2011
Образец цитирования:
F. Fedele, Д. С. Дутых, “Hamiltonian form and solitary waves of the spatial Dysthe equations”, Письма в ЖЭТФ, 94:12 (2011), 921–925; JETP Letters, 94:12 (2011), 840–844
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl2402 https://www.mathnet.ru/rus/jetpl/v94/i12/p921
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Страница аннотации: | 195 | PDF полного текста: | 61 | Список литературы: | 37 | Первая страница: | 4 |
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