Two-Dimensional Toda-Heisenberg Lattice
We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierar...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149202 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Two-Dimensional Toda-Heisenberg Lattice / V.E. Vekslerchik // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1492022019-02-20T01:25:17Z Two-Dimensional Toda-Heisenberg Lattice Vekslerchik, V.E. We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy, and derive its N-soliton solutions. 2013 Article Two-Dimensional Toda-Heisenberg Lattice / V.E. Vekslerchik // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 39A14; 82D40; 35C08; 11C20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.044 http://dspace.nbuv.gov.ua/handle/123456789/149202 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy, and derive its N-soliton solutions. |
| format |
Article |
| author |
Vekslerchik, V.E. |
| spellingShingle |
Vekslerchik, V.E. Two-Dimensional Toda-Heisenberg Lattice Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Vekslerchik, V.E. |
| author_sort |
Vekslerchik, V.E. |
| title |
Two-Dimensional Toda-Heisenberg Lattice |
| title_short |
Two-Dimensional Toda-Heisenberg Lattice |
| title_full |
Two-Dimensional Toda-Heisenberg Lattice |
| title_fullStr |
Two-Dimensional Toda-Heisenberg Lattice |
| title_full_unstemmed |
Two-Dimensional Toda-Heisenberg Lattice |
| title_sort |
two-dimensional toda-heisenberg lattice |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149202 |
| citation_txt |
Two-Dimensional Toda-Heisenberg Lattice / V.E. Vekslerchik // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 25 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT vekslerchikve twodimensionaltodaheisenberglattice |
| first_indexed |
2023-05-20T17:32:13Z |
| last_indexed |
2023-05-20T17:32:13Z |
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1796153529824444416 |