Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate one of these models, B-2, and in particular the consequences of a nonzero defor...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147179 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation / J. Hietarinta, J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680691906445312 |
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| author | Hietarinta, J. Zhang, D. |
| author_facet | Hietarinta, J. Zhang, D. |
| citation_txt | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation / J. Hietarinta, J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate one of these models, B-2, and in particular the consequences of a nonzero deformation parameter b₀ > 0, which allows special kinds of solitons in the parameter range −b₀/3 < k < b₀.
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| first_indexed | 2025-12-07T15:48:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147179 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:48:20Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hietarinta, J. Zhang, D. 2019-02-13T18:31:27Z 2019-02-13T18:31:27Z 2011 Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation / J. Hietarinta, J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35C09, 37K10, 39A14 DOI:10.3842/SIGMA.2011.061 https://nasplib.isofts.kiev.ua/handle/123456789/147179 Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate one of these models, B-2, and in particular the consequences of a nonzero deformation parameter b₀ > 0, which allows special kinds of solitons in the parameter range −b₀/3 < k < b₀. This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html.
 One of the authors (JH) was partially supported by Ville de Paris within the “Research in
 Paris” program. DJZ was supported by the NSFC (No. 11071157). This project is also partially supported by the Shanghai Leading Academic Discipline Project (No. J50101). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation Article published earlier |
| spellingShingle | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation Hietarinta, J. Zhang, D. |
| title | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
| title_full | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
| title_fullStr | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
| title_full_unstemmed | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
| title_short | Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
| title_sort | soliton taxonomy for a modification of the lattice boussinesq equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147179 |
| work_keys_str_mv | AT hietarintaj solitontaxonomyforamodificationofthelatticeboussinesqequation AT zhangd solitontaxonomyforamodificationofthelatticeboussinesqequation |