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Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media

Vernadsky National Library of Ukraine

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Title Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
 
Creator Molchan, M.A.
 
Description On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters are modeled by the Gaussian white noise. It is shown that for different response functions of a medium nonlocality suppresses, as a rule, both the growth rate peak and bandwidth of instability caused by random parameters. At the same time, for a special form of the response functions there can be an ''anomalous'' subjection of nonlocality to the instability development which leads to further increase of the growth rate. Along with the second-order moments of the modulational amplitude, higher-order moments are taken into account.
 
Date 2019-02-13T19:32:06Z
2019-02-13T19:32:06Z
2007
 
Type Article
 
Identifier Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media / M.A. Molchan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 26 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 78A10; 45K05
http://dspace.nbuv.gov.ua/handle/123456789/147229
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України