Published in
Elsevier, Physics Letters A, 2(190), p. 144-148
DOI: 10.1016/0375-9601(94)90067-1
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Is free-surface hydrodynamics an integrable system?
Journal article published in 1994 by
A. I. Dyachenko,
V. E. Zakharov 
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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.