Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
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 respon...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147229 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862544675612655616 |
|---|---|
| author | Molchan, M.A. |
| author_facet | Molchan, M.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-25T01:48:10Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147229 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T01:48:10Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Molchan, M.A. 2019-02-13T19:32:06Z 2019-02-13T19:32:06Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147229 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. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media Article published earlier |
| spellingShingle | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media Molchan, M.A. |
| title | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_full | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_fullStr | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_full_unstemmed | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_short | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_sort | stability analysis of continuous waves in nonlocal random nonlinear media |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147229 |
| work_keys_str_mv | AT molchanma stabilityanalysisofcontinuouswavesinnonlocalrandomnonlinearmedia |