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Эта публикация цитируется в 20 научных статьях (всего в 20 статьях)
НЕЛИНЕЙНЫЕ ЯВЛЕНИЯ
On the nonintegrability of the free surface hydrodynamics
A. I. Dyachenkoab, D. I. Kachulinb, V. E. Zakharovabcd a Novosibirsk State University
b Landau Institute for Theoretical Physics, Russian Academy of Sciences
c University of Arizona, Department of Mathematics
d P. N. Lebedev Physical Institute, Russian Academy of Sciences
Аннотация:
We study integrability of the compact 1-D Zakharov equation. The results of numerical
experiments on multiple collisions of breathers (which correspond to envelope solitons in
the NLSE approximation) show that collisions are not pure elastic. Also we analyse the
amplitude of six-wave interactions for compact 1-D Zakharov equation. It was found that
six-wave amplitude is not canceled for this equation. Thus, 1-D Zakharov equation is not
integrable.
Поступила в редакцию: 21.05.2013
Образец цитирования:
A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov, “On the nonintegrability of the free surface hydrodynamics”, Письма в ЖЭТФ, 98:1 (2013), 48–52; JETP Letters, 98:1 (2013), 43–47
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl3463 https://www.mathnet.ru/rus/jetpl/v98/i1/p48
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Страница аннотации: | 310 | PDF полного текста: | 103 | Список литературы: | 59 | Первая страница: | 9 |
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