Is free-surface hydrodynamics an integrable system?

A. I. Dyachenko; V. E. Zakharov

doi:10.1016/0375-9601(94)90067-1

Is free-surface hydrodynamics an integrable system?

A. I. Dyachenko
, V. E. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

81 Scopus citations

Abstract

A strong argument is found in support of the integrability of free-surface hydrodynamics in the one-dimensional case. It is shown that the first term in the perturbation series in powers of nonlinearity is identically equal to zero, the consequences of which are discussed as well.

Original language	English (US)
Pages (from-to)	144-148
Number of pages	5
Journal	Physics Letters A
Volume	190
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(94)90067-1
State	Published - Jul 18 1994

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(94)90067-1

Cite this

@article{9b7b2d026d9e4794a8b492bb2956bbce,

title = "Is free-surface hydrodynamics an integrable system?",

abstract = "A strong argument is found in support of the integrability of free-surface hydrodynamics in the one-dimensional case. It is shown that the first term in the perturbation series in powers of nonlinearity is identically equal to zero, the consequences of which are discussed as well.",

author = "Dyachenko, \{A. I.\} and Zakharov, \{V. E.\}",

note = "Funding Information: This work is supportedb y the ONR Grant N00 94-01-00898.",

year = "1994",

month = jul,

day = "18",

doi = "10.1016/0375-9601(94)90067-1",

language = "English (US)",

volume = "190",

pages = "144--148",

journal = "Physics Letters A",

issn = "0375-9601",