Stochastization and spreading of wave trains in an oscillating potential

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 stab...

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Bibliographic Details
Published inPhysics letters. A Vol. 139; no. 1; pp. 65 - 70
Main Authors Aranson, I.S, Gorshkov, K.A, Rabinovich, M.I
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 24.07.1989
Elsevier Science
Subjects
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Chaos
Non linear equation
Oscillation
Wave train
Nonlinearity
Interaction potential
Stochastic process
Schrödinger equation
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Summary: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(89)90610-5