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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2013 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149202 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Two-Dimensional Toda-Heisenberg Lattice / V.E. Vekslerchik // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733428571504640 |
|---|---|
| author | Vekslerchik, V.E. |
| author_facet | Vekslerchik, V.E. |
| citation_txt | Two-Dimensional Toda-Heisenberg Lattice / V.E. Vekslerchik // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:37:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149202 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:37:51Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Vekslerchik, V.E. 2019-02-19T18:34:10Z 2019-02-19T18:34:10Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149202 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. We would like to thank the referees for careful reading the manuscript and for providing useful
 comments and suggestions which helped us to improve the paper en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Two-Dimensional Toda-Heisenberg Lattice Article published earlier |
| spellingShingle | Two-Dimensional Toda-Heisenberg Lattice Vekslerchik, V.E. |
| title | 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_short | Two-Dimensional Toda-Heisenberg Lattice |
| title_sort | two-dimensional toda-heisenberg lattice |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149202 |
| work_keys_str_mv | AT vekslerchikve twodimensionaltodaheisenberglattice |