On the nonintegrability of the free surface hydrodynamics

被引：17

作者：

Dyachenko, A. I. ^{[1
,2
]}

Kachulin, D. I. ^{[2
]}

Zakharov, V. E. ^{[1
,2
,3
,4
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

[2] Russian Acad Sci, Landau Inst Theoret Phys, Chernogolovka 142432, Moscow Region, Russia

[3] Univ Arizona, Dept Math, Tucson, AZ USA

[4] Russian Acad Sci, Lebedev Phys Inst, Moscow 119991, Russia

来源：

JETP LETTERS | 2013年 / 98卷 / 01期

基金：

美国国家科学基金会; 俄罗斯基础研究基金会;

关键词：

EQUATION; WAVES;

D O I：

10.1134/S002136401314004X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：43 / 47

页数：5

共 6 条

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[6]

Zakharov V. E., 1991, INTEGRABILITY NONLIN

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