Talbot carpets by rogue waves of extended nonlinear Schrödinger equations
<p>We present analytical and numerical double-periodic solutions of the one-dimensional nonlinear Schrödinger equation and its extended versions in the form of Talbot carpets. The breathers and rogue waves of different orders are obtained using numerical simulations, starting from the initial...
محفوظ في:
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| مؤلفون آخرون: | , , , , |
| منشور في: |
2019
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| _version_ | 1864513567556894720 |
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| author | Stanko N. Nikolić (14151438) |
| author2 | Omar A. Ashour (14151441) Najdan B. Aleksić (14151444) Yiqi Zhang (3958979) Milivoj R. Belić (3958976) Siu A. Chin (14151447) |
| author2_role | author author author author author |
| author_facet | Stanko N. Nikolić (14151438) Omar A. Ashour (14151441) Najdan B. Aleksić (14151444) Yiqi Zhang (3958979) Milivoj R. Belić (3958976) Siu A. Chin (14151447) |
| author_role | author |
| dc.creator.none.fl_str_mv | Stanko N. Nikolić (14151438) Omar A. Ashour (14151441) Najdan B. Aleksić (14151444) Yiqi Zhang (3958979) Milivoj R. Belić (3958976) Siu A. Chin (14151447) |
| dc.date.none.fl_str_mv | 2019-06-15T21:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s11071-019-05042-1 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Talbot_carpets_by_rogue_waves_of_extended_nonlinear_Schr_dinger_equations/21597426 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Engineering Electronics, sensors and digital hardware Mathematical sciences Applied mathematics Quintic equation Talbot carpet Rogue waves |
| dc.title.none.fl_str_mv | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>We present analytical and numerical double-periodic solutions of the one-dimensional nonlinear Schrödinger equation and its extended versions in the form of Talbot carpets. The breathers and rogue waves of different orders are obtained using numerical simulations, starting from the initial conditions calculated by the Darboux transformation. To suppress undesirable aspects of modulation instability leading to homoclinic chaos, Fourier mode pruning procedures are invented to preserve and maintain the twofold periodicity of carpets. The novelty of this paper is analytical Talbot carpets for Hirota–quintic equation and ability to obtain them dynamically by controlling the growth of the Fourier modes. In addition, the new period-matching procedure is also described for periodic rogue waves that can be utilized to produce Talbot carpets without mode pruning. Tablot carpets may find future utility in optoplasmonic nanolithography.</p><h2>Other Information</h2> <p> Published in: Nonlinear Dynamics<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s11071-019-05042-1" target="_blank">http://dx.doi.org/10.1007/s11071-019-05042-1</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_157ce53d39c9d050419ff05ae1274e03 |
| identifier_str_mv | 10.1007/s11071-019-05042-1 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/21597426 |
| publishDate | 2019 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Talbot carpets by rogue waves of extended nonlinear Schrödinger equationsStanko N. Nikolić (14151438)Omar A. Ashour (14151441)Najdan B. Aleksić (14151444)Yiqi Zhang (3958979)Milivoj R. Belić (3958976)Siu A. Chin (14151447)EngineeringElectronics, sensors and digital hardwareMathematical sciencesApplied mathematicsQuintic equationTalbot carpetRogue waves<p>We present analytical and numerical double-periodic solutions of the one-dimensional nonlinear Schrödinger equation and its extended versions in the form of Talbot carpets. The breathers and rogue waves of different orders are obtained using numerical simulations, starting from the initial conditions calculated by the Darboux transformation. To suppress undesirable aspects of modulation instability leading to homoclinic chaos, Fourier mode pruning procedures are invented to preserve and maintain the twofold periodicity of carpets. The novelty of this paper is analytical Talbot carpets for Hirota–quintic equation and ability to obtain them dynamically by controlling the growth of the Fourier modes. In addition, the new period-matching procedure is also described for periodic rogue waves that can be utilized to produce Talbot carpets without mode pruning. Tablot carpets may find future utility in optoplasmonic nanolithography.</p><h2>Other Information</h2> <p> Published in: Nonlinear Dynamics<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s11071-019-05042-1" target="_blank">http://dx.doi.org/10.1007/s11071-019-05042-1</a></p>2019-06-15T21:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s11071-019-05042-1https://figshare.com/articles/journal_contribution/Talbot_carpets_by_rogue_waves_of_extended_nonlinear_Schr_dinger_equations/21597426CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215974262019-06-15T21:00:00Z |
| spellingShingle | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations Stanko N. Nikolić (14151438) Engineering Electronics, sensors and digital hardware Mathematical sciences Applied mathematics Quintic equation Talbot carpet Rogue waves |
| status_str | publishedVersion |
| title | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| title_full | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| title_fullStr | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| title_full_unstemmed | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| title_short | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| title_sort | Talbot carpets by rogue waves of extended nonlinear Schrödinger equations |
| topic | Engineering Electronics, sensors and digital hardware Mathematical sciences Applied mathematics Quintic equation Talbot carpet Rogue waves |