The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations
The nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process that produces the waves decay in many physics applications. The unified method has been used in obtaining different new stochastic forms for NLSSE damped by noises in Itô sense. The derived structures appear in th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2023-06-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484221122114 |
| _version_ | 1797818916039294976 |
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| author | Hesham G Abdelwahed Emad K El-Shewy Mahmoud A E Abdelrahman Salim S Alghanim |
| author_facet | Hesham G Abdelwahed Emad K El-Shewy Mahmoud A E Abdelrahman Salim S Alghanim |
| author_sort | Hesham G Abdelwahed |
| collection | DOAJ |
| description | The nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process that produces the waves decay in many physics applications. The unified method has been used in obtaining different new stochastic forms for NLSSE damped by noises in Itô sense. The derived structures appear in the form of rational, solitons, soliton-like shocks, and explosive propagations. The new stochastic solutions investigated the change of frequencies by noise term in NLSSE in nonlinear process that may be produced in many nonlinear wave applications. Finally, wave picture properties may controlled by noise term in Itô sense effect, which gives new information’s for NLSSE in physics applications which is believed to be affected by the influence of Brownian motion that change the shape and structures of the generated decaying and damping waves. |
| first_indexed | 2024-03-13T09:15:10Z |
| format | Article |
| id | doaj.art-72e2ca18080c484ebc28573009a31aaa |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-03-13T09:15:10Z |
| publishDate | 2023-06-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-72e2ca18080c484ebc28573009a31aaa2023-05-26T10:34:20ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462023-06-014210.1177/14613484221122114The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagationsHesham G AbdelwahedEmad K El-ShewyMahmoud A E AbdelrahmanSalim S AlghanimThe nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process that produces the waves decay in many physics applications. The unified method has been used in obtaining different new stochastic forms for NLSSE damped by noises in Itô sense. The derived structures appear in the form of rational, solitons, soliton-like shocks, and explosive propagations. The new stochastic solutions investigated the change of frequencies by noise term in NLSSE in nonlinear process that may be produced in many nonlinear wave applications. Finally, wave picture properties may controlled by noise term in Itô sense effect, which gives new information’s for NLSSE in physics applications which is believed to be affected by the influence of Brownian motion that change the shape and structures of the generated decaying and damping waves.https://doi.org/10.1177/14613484221122114 |
| spellingShingle | Hesham G Abdelwahed Emad K El-Shewy Mahmoud A E Abdelrahman Salim S Alghanim The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations Journal of Low Frequency Noise, Vibration and Active Control |
| title | The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations |
| title_full | The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations |
| title_fullStr | The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations |
| title_full_unstemmed | The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations |
| title_short | The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations |
| title_sort | noise sense effects on the characteristic nonlinearly schrodinger equation solitary propagations |
| url | https://doi.org/10.1177/14613484221122114 |
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