Dynamic behaviors of the breather solutions for the AB system in fluid mechanics
Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of b...
Gespeichert in:
| Veröffentlicht in: | Nonlinear dynamics 2013-11, Vol.74 (3), p.701-709 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 709 |
|---|---|
| container_issue | 3 |
| container_start_page | 701 |
| container_title | Nonlinear dynamics |
| container_volume | 74 |
| creator | Guo, Rui Hao, Hui-Qin Zhang, Ling-Ling |
| description | Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of breathers on the continuous wave (cw) background are generated via the obtained Darboux transformation. The following contents are mainly discussed by figures plotted: (1) Modulation instability processes of the Akhmediev breathers in the presence of small perturbations; (2) Propagations characteristics of Ma solitons; (3) Dynamic features of the breathers evolving periodically along the straight line with a certain angle of
z
-axis and
t
-axis. |
| doi_str_mv | 10.1007/s11071-013-0998-1 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1671497996</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2259452779</sourcerecordid><originalsourceid>FETCH-LOGICAL-c349t-915bfabddb105ac45a8a3715561ef1d15b788126cc4272fbcd55cfdb8bb3a4db3</originalsourceid><addsrcrecordid>eNp1kM9LwzAYhoMoOKd_gLeAFy_VfGnTNMc5f8JADwq7hSRNXEfbzKQV9t-bOUEQPH2H93lfPh6EzoFcASH8OgIQDhmBPCNCVBkcoAkwnme0FMtDNCGCFikhy2N0EuOaEJJTUk3Qy-22V11jsLYr9dn4ELF3eFhZrINV6QYcfTsOje8jdj58R7MbHLdxsB1ueuzasalxZ81K9Y2Jp-jIqTbas587RW_3d6_zx2zx_PA0ny0ykxdiyAQw7ZSuaw2EKVMwVamcA2MlWAd1SnlVAS2NKSinTpuaMeNqXWmdq6LW-RRd7nc3wX-MNg6ya6Kxbat668cooeRQCC5EmdCLP-jaj6FP30lKmSgY5VwkCvaUCT7GYJ3chKZTYSuByJ1juXcsk2O5cywhdei-ExPbv9vwu_x_6QtSbX8W</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2259452779</pqid></control><display><type>article</type><title>Dynamic behaviors of the breather solutions for the AB system in fluid mechanics</title><source>Springer Nature - Complete Springer Journals</source><creator>Guo, Rui ; Hao, Hui-Qin ; Zhang, Ling-Ling</creator><creatorcontrib>Guo, Rui ; Hao, Hui-Qin ; Zhang, Ling-Ling</creatorcontrib><description>Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of breathers on the continuous wave (cw) background are generated via the obtained Darboux transformation. The following contents are mainly discussed by figures plotted: (1) Modulation instability processes of the Akhmediev breathers in the presence of small perturbations; (2) Propagations characteristics of Ma solitons; (3) Dynamic features of the breathers evolving periodically along the straight line with a certain angle of
z
-axis and
t
-axis.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-013-0998-1</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Baroclinic waves ; Breathers ; Classical Mechanics ; Computational fluid dynamics ; Conservation laws ; Continuous radiation ; Control ; Dynamical Systems ; Engineering ; Fluid mechanics ; Geophysical fluids ; Geophysics ; Instability ; Mechanical Engineering ; Modulation ; Nonlinear dynamics ; Original Paper ; Solitary waves ; Solitons ; Stability ; Straight lines ; Transformations ; Vibration ; Wave packets</subject><ispartof>Nonlinear dynamics, 2013-11, Vol.74 (3), p.701-709</ispartof><rights>Springer Science+Business Media Dordrecht 2013</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2013). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-915bfabddb105ac45a8a3715561ef1d15b788126cc4272fbcd55cfdb8bb3a4db3</citedby><cites>FETCH-LOGICAL-c349t-915bfabddb105ac45a8a3715561ef1d15b788126cc4272fbcd55cfdb8bb3a4db3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11071-013-0998-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11071-013-0998-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Guo, Rui</creatorcontrib><creatorcontrib>Hao, Hui-Qin</creatorcontrib><creatorcontrib>Zhang, Ling-Ling</creatorcontrib><title>Dynamic behaviors of the breather solutions for the AB system in fluid mechanics</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of breathers on the continuous wave (cw) background are generated via the obtained Darboux transformation. The following contents are mainly discussed by figures plotted: (1) Modulation instability processes of the Akhmediev breathers in the presence of small perturbations; (2) Propagations characteristics of Ma solitons; (3) Dynamic features of the breathers evolving periodically along the straight line with a certain angle of
z
-axis and
t
-axis.</description><subject>Automotive Engineering</subject><subject>Baroclinic waves</subject><subject>Breathers</subject><subject>Classical Mechanics</subject><subject>Computational fluid dynamics</subject><subject>Conservation laws</subject><subject>Continuous radiation</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Fluid mechanics</subject><subject>Geophysical fluids</subject><subject>Geophysics</subject><subject>Instability</subject><subject>Mechanical Engineering</subject><subject>Modulation</subject><subject>Nonlinear dynamics</subject><subject>Original Paper</subject><subject>Solitary waves</subject><subject>Solitons</subject><subject>Stability</subject><subject>Straight lines</subject><subject>Transformations</subject><subject>Vibration</subject><subject>Wave packets</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kM9LwzAYhoMoOKd_gLeAFy_VfGnTNMc5f8JADwq7hSRNXEfbzKQV9t-bOUEQPH2H93lfPh6EzoFcASH8OgIQDhmBPCNCVBkcoAkwnme0FMtDNCGCFikhy2N0EuOaEJJTUk3Qy-22V11jsLYr9dn4ELF3eFhZrINV6QYcfTsOje8jdj58R7MbHLdxsB1ueuzasalxZ81K9Y2Jp-jIqTbas587RW_3d6_zx2zx_PA0ny0ykxdiyAQw7ZSuaw2EKVMwVamcA2MlWAd1SnlVAS2NKSinTpuaMeNqXWmdq6LW-RRd7nc3wX-MNg6ya6Kxbat668cooeRQCC5EmdCLP-jaj6FP30lKmSgY5VwkCvaUCT7GYJ3chKZTYSuByJ1juXcsk2O5cywhdei-ExPbv9vwu_x_6QtSbX8W</recordid><startdate>20131101</startdate><enddate>20131101</enddate><creator>Guo, Rui</creator><creator>Hao, Hui-Qin</creator><creator>Zhang, Ling-Ling</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20131101</creationdate><title>Dynamic behaviors of the breather solutions for the AB system in fluid mechanics</title><author>Guo, Rui ; Hao, Hui-Qin ; Zhang, Ling-Ling</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-915bfabddb105ac45a8a3715561ef1d15b788126cc4272fbcd55cfdb8bb3a4db3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Automotive Engineering</topic><topic>Baroclinic waves</topic><topic>Breathers</topic><topic>Classical Mechanics</topic><topic>Computational fluid dynamics</topic><topic>Conservation laws</topic><topic>Continuous radiation</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Fluid mechanics</topic><topic>Geophysical fluids</topic><topic>Geophysics</topic><topic>Instability</topic><topic>Mechanical Engineering</topic><topic>Modulation</topic><topic>Nonlinear dynamics</topic><topic>Original Paper</topic><topic>Solitary waves</topic><topic>Solitons</topic><topic>Stability</topic><topic>Straight lines</topic><topic>Transformations</topic><topic>Vibration</topic><topic>Wave packets</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Rui</creatorcontrib><creatorcontrib>Hao, Hui-Qin</creatorcontrib><creatorcontrib>Zhang, Ling-Ling</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guo, Rui</au><au>Hao, Hui-Qin</au><au>Zhang, Ling-Ling</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic behaviors of the breather solutions for the AB system in fluid mechanics</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2013-11-01</date><risdate>2013</risdate><volume>74</volume><issue>3</issue><spage>701</spage><epage>709</epage><pages>701-709</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of breathers on the continuous wave (cw) background are generated via the obtained Darboux transformation. The following contents are mainly discussed by figures plotted: (1) Modulation instability processes of the Akhmediev breathers in the presence of small perturbations; (2) Propagations characteristics of Ma solitons; (3) Dynamic features of the breathers evolving periodically along the straight line with a certain angle of
z
-axis and
t
-axis.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-013-0998-1</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0924-090X |
| ispartof | Nonlinear dynamics, 2013-11, Vol.74 (3), p.701-709 |
| issn | 0924-090X 1573-269X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1671497996 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Automotive Engineering Baroclinic waves Breathers Classical Mechanics Computational fluid dynamics Conservation laws Continuous radiation Control Dynamical Systems Engineering Fluid mechanics Geophysical fluids Geophysics Instability Mechanical Engineering Modulation Nonlinear dynamics Original Paper Solitary waves Solitons Stability Straight lines Transformations Vibration Wave packets |
| title | Dynamic behaviors of the breather solutions for the AB system in fluid mechanics |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-18T13%3A35%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamic%20behaviors%20of%20the%20breather%20solutions%20for%20the%20AB%20system%20in%20fluid%20mechanics&rft.jtitle=Nonlinear%20dynamics&rft.au=Guo,%20Rui&rft.date=2013-11-01&rft.volume=74&rft.issue=3&rft.spage=701&rft.epage=709&rft.pages=701-709&rft.issn=0924-090X&rft.eissn=1573-269X&rft_id=info:doi/10.1007/s11071-013-0998-1&rft_dat=%3Cproquest_cross%3E2259452779%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2259452779&rft_id=info:pmid/&rfr_iscdi=true |