On the N-Solitons Solutions in the Novikov-Veselov Equation
We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the N-solitons wave function is proved using the Pfaffian...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149211 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the N-Solitons Solutions in the Novikov-Veselov Equation / J.-H. Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 41 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862598245685919744 |
|---|---|
| author | Chang, J.-H. |
| author_facet | Chang, J.-H. |
| citation_txt | On the N-Solitons Solutions in the Novikov-Veselov Equation / J.-H. Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 41 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the N-solitons wave function is proved using the Pfaffian expansion. This property corresponding to the discrete scattering data for N-solitons solution is obtained in [arXiv:0912.2155] from the ∂¯¯¯-dressing method.
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| first_indexed | 2025-11-27T18:46:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149211 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T18:46:57Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chang, J.-H. 2019-02-19T18:45:34Z 2019-02-19T18:45:34Z 2013 On the N-Solitons Solutions in the Novikov-Veselov Equation / J.-H. Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 41 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35C08; 35A22 DOI: http://dx.doi.org/10.3842/SIGMA.2013.006 https://nasplib.isofts.kiev.ua/handle/123456789/149211 We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the N-solitons wave function is proved using the Pfaffian expansion. This property corresponding to the discrete scattering data for N-solitons solution is obtained in [arXiv:0912.2155] from the ∂¯¯¯-dressing method. This work is supported in part by the National Science Council of Taiwan under Grant No.
 100-2115-M-606-001. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the N-Solitons Solutions in the Novikov-Veselov Equation Article published earlier |
| spellingShingle | On the N-Solitons Solutions in the Novikov-Veselov Equation Chang, J.-H. |
| title | On the N-Solitons Solutions in the Novikov-Veselov Equation |
| title_full | On the N-Solitons Solutions in the Novikov-Veselov Equation |
| title_fullStr | On the N-Solitons Solutions in the Novikov-Veselov Equation |
| title_full_unstemmed | On the N-Solitons Solutions in the Novikov-Veselov Equation |
| title_short | On the N-Solitons Solutions in the Novikov-Veselov Equation |
| title_sort | on the n-solitons solutions in the novikov-veselov equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149211 |
| work_keys_str_mv | AT changjh onthensolitonssolutionsinthenovikovveselovequation |