Stochastization and spreading of wave trains in an oscillating potential

I. S. Aranson; K. A. Gorshkov; M. I. Rabinovich

doi:10.1016/0375-9601(89)90610-5

Stochastization and spreading of wave trains in an oscillating potential

I. S. Aranson
, K. A. Gorshkov
, M. I. Rabinovich

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

8 Scopus citations

Abstract

The specific role of nonlinearity in wave train stochastization is considered using the linear and nonlinear Schrödinger equations. It is shown that in some cases of the chaotic motion of deterministic wave fields nonlinearity may be responsible not for mixing but for the "inverse" effects that stabilize the wave train and prevent its spreading.

Original language	English (US)
Pages (from-to)	65-70
Number of pages	6
Journal	Physics Letters A
Volume	139
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(89)90610-5
State	Published - Jul 24 1989

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(89)90610-5

Cite this

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title = "Stochastization and spreading of wave trains in an oscillating potential",

abstract = "The specific role of nonlinearity in wave train stochastization is considered using the linear and nonlinear Schr{\"o}dinger equations. It is shown that in some cases of the chaotic motion of deterministic wave fields nonlinearity may be responsible not for mixing but for the {"}inverse{"} effects that stabilize the wave train and prevent its spreading.",

author = "Aranson, \{I. S.\} and Gorshkov, \{K. A.\} and Rabinovich, \{M. I.\}",

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T1 - Stochastization and spreading of wave trains in an oscillating potential

AU - Aranson, I. S.

AU - Gorshkov, K. A.

AU - Rabinovich, M. I.

PY - 1989/7/24

Y1 - 1989/7/24

N2 - The specific role of nonlinearity in wave train stochastization is considered using the linear and nonlinear Schrödinger equations. It is shown that in some cases of the chaotic motion of deterministic wave fields nonlinearity may be responsible not for mixing but for the "inverse" effects that stabilize the wave train and prevent its spreading.

AB - The specific role of nonlinearity in wave train stochastization is considered using the linear and nonlinear Schrödinger equations. It is shown that in some cases of the chaotic motion of deterministic wave fields nonlinearity may be responsible not for mixing but for the "inverse" effects that stabilize the wave train and prevent its spreading.

UR - https://www.scopus.com/pages/publications/45349110350

UR - https://www.scopus.com/pages/publications/45349110350#tab=citedBy

U2 - 10.1016/0375-9601(89)90610-5

DO - 10.1016/0375-9601(89)90610-5

M3 - Article

AN - SCOPUS:45349110350

SN - 0375-9601

VL - 139

SP - 65

EP - 70

JO - Physics Letters A

JF - Physics Letters A

IS - 1-2

ER -

Stochastization and spreading of wave trains in an oscillating potential

Abstract

All Science Journal Classification (ASJC) codes

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