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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Дата: | 2011 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2011
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147179 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1471792019-02-14T01:25:04Z Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation Hietarinta, J. Zhang, D. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147179 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 |
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. |
format |
Article |
author |
Hietarinta, J. Zhang, D. |
spellingShingle |
Hietarinta, J. Zhang, D. Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Hietarinta, J. Zhang, D. |
author_sort |
Hietarinta, J. |
title |
Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation |
title_short |
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_sort |
soliton taxonomy for a modification of the lattice boussinesq equation |
publisher |
Інститут математики НАН України |
publishDate |
2011 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/147179 |
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. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT hietarintaj solitontaxonomyforamodificationofthelatticeboussinesqequation AT zhangd solitontaxonomyforamodificationofthelatticeboussinesqequation |
first_indexed |
2023-05-20T17:26:48Z |
last_indexed |
2023-05-20T17:26:48Z |
_version_ |
1796153312774455296 |