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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2011
Main Authors: Hietarinta, J., Zhang, D.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147179
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
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Summary: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.
ISSN:1815-0659