Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

Інший ID: 2010 Mathematics Subject Classification: 35C09, 37K10, 39A14
DOI:10.3842/SIGMA.2011.061

URI: http://dspace.nbuv.gov.ua/handle/123456789/147179

Посилання: 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.

Підтримка: 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).

Дата: 2011

Завантажень: 219

Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

Анотація:

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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