The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation
We present the inverse scattering transform method to the six-order nonlinear Schrödinger equation on the line with zero boundary condition in the form of an appropriate Riemann–Hilbert problem. We solve the associated Riemann–Hilbert problem involving two cases of N simple poles and N multiple high...
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| Veröffentlicht in: | Nonlinear dynamics 2021-07, Vol.105 (2), p.1741-1751 |
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| container_title | Nonlinear dynamics |
| container_volume | 105 |
| creator | Xu, Mengtao Liu, Nan Guo, Chunxiao |
| description | We present the inverse scattering transform method to the six-order nonlinear Schrödinger equation on the line with zero boundary condition in the form of an appropriate Riemann–Hilbert problem. We solve the associated Riemann–Hilbert problem involving two cases of
N
simple poles and
N
multiple higher-order poles, which enables us to obtain the exact formulae of
N
-soliton and multiple-poles soliton solutions. Furthermore, the dynamic behaviors of various solitons are displayed. |
| doi_str_mv | 10.1007/s11071-021-06632-8 |
| format | Article |
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N
simple poles and
N
multiple higher-order poles, which enables us to obtain the exact formulae of
N
-soliton and multiple-poles soliton solutions. Furthermore, the dynamic behaviors of various solitons are displayed.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-021-06632-8</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Boundary conditions ; Classical Mechanics ; Control ; Dynamical Systems ; Engineering ; Engineering, Mechanical ; Inverse scattering ; Mathematics ; Mechanical Engineering ; Mechanics ; Original Paper ; Physics ; Poles ; Schrodinger equation ; Science & Technology ; Solitary waves ; Technology ; Vibration</subject><ispartof>Nonlinear dynamics, 2021-07, Vol.105 (2), p.1741-1751</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><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>5</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000668418200001</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c319t-2a82eda09e1de20d4bebdd50131dc6d02409eb62415ec12f8387e76426f7c7f3</citedby><cites>FETCH-LOGICAL-c319t-2a82eda09e1de20d4bebdd50131dc6d02409eb62415ec12f8387e76426f7c7f3</cites><orcidid>0000-0003-2042-9923</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/s11071-021-06632-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11071-021-06632-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,39263,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Xu, Mengtao</creatorcontrib><creatorcontrib>Liu, Nan</creatorcontrib><creatorcontrib>Guo, Chunxiao</creatorcontrib><title>The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><addtitle>NONLINEAR DYNAM</addtitle><description>We present the inverse scattering transform method to the six-order nonlinear Schrödinger equation on the line with zero boundary condition in the form of an appropriate Riemann–Hilbert problem. We solve the associated Riemann–Hilbert problem involving two cases of
N
simple poles and
N
multiple higher-order poles, which enables us to obtain the exact formulae of
N
-soliton and multiple-poles soliton solutions. Furthermore, the dynamic behaviors of various solitons are displayed.</description><subject>Automotive Engineering</subject><subject>Boundary conditions</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering, Mechanical</subject><subject>Inverse scattering</subject><subject>Mathematics</subject><subject>Mechanical Engineering</subject><subject>Mechanics</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Poles</subject><subject>Schrodinger equation</subject><subject>Science & Technology</subject><subject>Solitary waves</subject><subject>Technology</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>HGBXW</sourceid><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNkM9uGyEQh1GUSnHcvkBOK-UY0QywC-wxspq0kqUc4oNvaL3M1lhrcGBXbV4sL5AXK_b2zy3qAYFmfh8MHyFXDD4zAHWbGAPFKPC8pBSc6jMyY5USlMt6fU5mUPOSQg3rC3KZ0g4ABAc9I9vVFov92A-OptC7Ifii8XaqHHqkh9BjKv608j4OLvhUdCEWQ0aT-0lDtBgLH3zvPDaxeGq38e3VOv89l_F5bI7IR_Kha_qEn37vc7K6_7JafKXLx4dvi7slbQWrB8obzdE2UCOzyMGWG9xYWwETzLbSAi9zayN5ySpsGe-00AqVLLnsVKs6MSfX07WHGJ5HTIPZhTH6_KLhVaVqxrUSOcWnVBtDShE7c4hu38QXw8AchZpJqMlCzUmo0Rm6maAfuAldah36Fv-C2aiUumSa51Med070_6cXbjhJWoTRDxkVE5py_Cjx3x_eGe8X9DScXA</recordid><startdate>20210701</startdate><enddate>20210701</enddate><creator>Xu, Mengtao</creator><creator>Liu, Nan</creator><creator>Guo, Chunxiao</creator><general>Springer Netherlands</general><general>Springer Nature</general><general>Springer Nature B.V</general><scope>BLEPL</scope><scope>DTL</scope><scope>HGBXW</scope><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>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-2042-9923</orcidid></search><sort><creationdate>20210701</creationdate><title>The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation</title><author>Xu, Mengtao ; 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We solve the associated Riemann–Hilbert problem involving two cases of
N
simple poles and
N
multiple higher-order poles, which enables us to obtain the exact formulae of
N
-soliton and multiple-poles soliton solutions. Furthermore, the dynamic behaviors of various solitons are displayed.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-021-06632-8</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0003-2042-9923</orcidid></addata></record> |
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| ispartof | Nonlinear dynamics, 2021-07, Vol.105 (2), p.1741-1751 |
| issn | 0924-090X 1573-269X |
| language | eng |
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| source | SpringerNature Journals; Web of Science - Science Citation Index Expanded - 2021<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" /> |
| subjects | Automotive Engineering Boundary conditions Classical Mechanics Control Dynamical Systems Engineering Engineering, Mechanical Inverse scattering Mathematics Mechanical Engineering Mechanics Original Paper Physics Poles Schrodinger equation Science & Technology Solitary waves Technology Vibration |
| title | The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation |
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