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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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147229 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1472292019-02-14T01:27:03Z Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media Molchan, M.A. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Molchan, M.A. |
| spellingShingle |
Molchan, M.A. Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Molchan, M.A. |
| author_sort |
Molchan, M.A. |
| title |
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media |
| title_short |
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_sort |
stability analysis of continuous waves in nonlocal random nonlinear media |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147229 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT molchanma stabilityanalysisofcontinuouswavesinnonlocalrandomnonlinearmedia |
| first_indexed |
2025-07-11T01:41:05Z |
| last_indexed |
2025-07-11T01:41:05Z |
| _version_ |
1837312838723436544 |