Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation
In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is construct...
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| Veröffentlicht in: | Nonlinear dynamics 2021-12, Vol.106 (4), p.3437-3451 |
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| container_title | Nonlinear dynamics |
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| creator | Zhou, Huijuan Chen, Yong |
| description | In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by
n
-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures. |
| doi_str_mv | 10.1007/s11071-021-06953-8 |
| format | Article |
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-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-021-06953-8</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Breathers ; Classical Mechanics ; Control ; Dynamical Systems ; Engineering ; Mechanical Engineering ; Original Paper ; Plane waves ; Schrodinger equation ; Spacetime ; Transformations ; Vibration</subject><ispartof>Nonlinear dynamics, 2021-12, Vol.106 (4), p.3437-3451</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2021.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-47e3a59d734bedb481c8efdaec415e1ac4cb4526e748bd2e36e355dfdd7e3e963</citedby><cites>FETCH-LOGICAL-c363t-47e3a59d734bedb481c8efdaec415e1ac4cb4526e748bd2e36e355dfdd7e3e963</cites><orcidid>0000-0002-6008-6542</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11071-021-06953-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11071-021-06953-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Zhou, Huijuan</creatorcontrib><creatorcontrib>Chen, Yong</creatorcontrib><title>Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by
n
-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. 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| subjects | Automotive Engineering Breathers Classical Mechanics Control Dynamical Systems Engineering Mechanical Engineering Original Paper Plane waves Schrodinger equation Spacetime Transformations Vibration |
| title | Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation |
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