@article{262820fc9ce74a93ba64c86e70d1e1d1,
title = "On the nonintegrability of the free surface hydrodynamics",
abstract = "The integrability of the compact 1D Zakharov equation has been analyzed. The numerical experiments show that the multiple collisions of breathers (which correspond to envelope solitons in the NLSE approximation) are not pure elastic. The amplitude of six-wave interactions for the compact 1D Zakharov equation has also been analyzed. It has been found that the six-wave amplitude is not canceled for this equation. Thus, the 1D Zakharov equation is not integrable.",
author = "Dyachenko, {A. I.} and Kachulin, {D. I.} and Zakharov, {V. E.}",
note = "Funding Information: This work was supported by the Government of the Russian Federation (project no.11.G34.31.0035, pro gram for support of research supervised by leading sci entists at Russian universities; leading scientist is V.E. Zakharov at Novosibirsk State University), by the US Army Corps of Engineers (grant no. W912 BU 08 P 0143), by the U.S. Office of Naval Research (Grant no. 00014 10 1 0991), by the U.S. National Science Foundation (grant no. DMS 0404577), by the Russian Foundation for Basic Research (project nos. 12 01 00943 a and 12 05 92004 HHC_a), by the Presidium of the Russian Academy of Sciences (program “Fundamental Problems in Nonlinear Dynamics”), and by the Council of the President of the Russian Federation for Support of Young Scien tists and Leading Scientific Schools (project no. NSh 6170.2012.2).",
year = "2013",
month = sep,
doi = "10.1134/S002136401314004X",
language = "English (US)",
volume = "98",
pages = "43--47",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "Pleiades Publishing",
number = "1",
}