Two-component {CH} system: Inverse Scattering, Peakons and Geometry
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2010-09 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Holm, D D Ivanov, R I |
| description | An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2. |
| doi_str_mv | 10.48550/arxiv.1009.5374 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1009_5374</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2082539034</sourcerecordid><originalsourceid>FETCH-LOGICAL-a514-f97c3191b91fc6da2219f10e4baaf26c0eaef1a576212f2839007384ca023a493</originalsourceid><addsrcrecordid>eNotj8FKAzEURYMgWGr3riTg1qkvL8nMxJ0M2hYKCnY_vE4TaXWSmkyrpfjvttbV3RwO9zB2JWCoSq3hjuL3cjsUAGaoZaHOWA-lFFmpEC_YIKUVAGBeoNayx6rZV8ia0K6Dt77j-2r8w9Mudba95xO_tTFZ_tpQ19m49G-3_MXSe_CJk1_wkQ2t7eLukp07-kh28L99Nnt6nFXjbPo8mlQP04y0UJkzRSOFEXMjXJMvCFEYJ8CqOZHDvAFL1gnSRY4CHZbSABSyVA0BSlJG9tn1SfsXWK_jsqW4q4-h9TH0ANycgHUMnxubunoVNtEfLtUIJeqDUSr5C1iFVN0</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2082539034</pqid></control><display><type>article</type><title>Two-component {CH} system: Inverse Scattering, Peakons and Geometry</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Holm, D D ; Ivanov, R I</creator><creatorcontrib>Holm, D D ; Ivanov, R I</creatorcontrib><description>An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1009.5374</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Fluid dynamics ; Inverse scattering ; Mathematics - Mathematical Physics ; Partial differential equations ; Physics - Exactly Solvable and Integrable Systems ; Physics - Mathematical Physics ; Solitary waves</subject><ispartof>arXiv.org, 2010-09</ispartof><rights>2010. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1009.5374$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1088/0266-5611/27/4/045013$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Holm, D D</creatorcontrib><creatorcontrib>Ivanov, R I</creatorcontrib><title>Two-component {CH} system: Inverse Scattering, Peakons and Geometry</title><title>arXiv.org</title><description>An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.</description><subject>Fluid dynamics</subject><subject>Inverse scattering</subject><subject>Mathematics - Mathematical Physics</subject><subject>Partial differential equations</subject><subject>Physics - Exactly Solvable and Integrable Systems</subject><subject>Physics - Mathematical Physics</subject><subject>Solitary waves</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj8FKAzEURYMgWGr3riTg1qkvL8nMxJ0M2hYKCnY_vE4TaXWSmkyrpfjvttbV3RwO9zB2JWCoSq3hjuL3cjsUAGaoZaHOWA-lFFmpEC_YIKUVAGBeoNayx6rZV8ia0K6Dt77j-2r8w9Mudba95xO_tTFZ_tpQ19m49G-3_MXSe_CJk1_wkQ2t7eLukp07-kh28L99Nnt6nFXjbPo8mlQP04y0UJkzRSOFEXMjXJMvCFEYJ8CqOZHDvAFL1gnSRY4CHZbSABSyVA0BSlJG9tn1SfsXWK_jsqW4q4-h9TH0ANycgHUMnxubunoVNtEfLtUIJeqDUSr5C1iFVN0</recordid><startdate>20100927</startdate><enddate>20100927</enddate><creator>Holm, D D</creator><creator>Ivanov, R I</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>ALA</scope><scope>GOX</scope></search><sort><creationdate>20100927</creationdate><title>Two-component {CH} system: Inverse Scattering, Peakons and Geometry</title><author>Holm, D D ; Ivanov, R I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a514-f97c3191b91fc6da2219f10e4baaf26c0eaef1a576212f2839007384ca023a493</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Fluid dynamics</topic><topic>Inverse scattering</topic><topic>Mathematics - Mathematical Physics</topic><topic>Partial differential equations</topic><topic>Physics - Exactly Solvable and Integrable Systems</topic><topic>Physics - Mathematical Physics</topic><topic>Solitary waves</topic><toplevel>online_resources</toplevel><creatorcontrib>Holm, D D</creatorcontrib><creatorcontrib>Ivanov, R I</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</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>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv Nonlinear Science</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Holm, D D</au><au>Ivanov, R I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two-component {CH} system: Inverse Scattering, Peakons and Geometry</atitle><jtitle>arXiv.org</jtitle><date>2010-09-27</date><risdate>2010</risdate><eissn>2331-8422</eissn><abstract>An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1009.5374</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2010-09 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1009_5374 |
| source | arXiv.org; Free E- Journals |
| subjects | Fluid dynamics Inverse scattering Mathematics - Mathematical Physics Partial differential equations Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics Solitary waves |
| title | Two-component {CH} system: Inverse Scattering, Peakons and Geometry |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T19%3A53%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Two-component%20%7BCH%7D%20system:%20Inverse%20Scattering,%20Peakons%20and%20Geometry&rft.jtitle=arXiv.org&rft.au=Holm,%20D%20D&rft.date=2010-09-27&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1009.5374&rft_dat=%3Cproquest_arxiv%3E2082539034%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2082539034&rft_id=info:pmid/&rfr_iscdi=true |