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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 061, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.061 (Mi sigma619) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

Jarmo Hietarintaab, Da-jun Zhangc

a LPTHE / CNRS / UPMC, 4 place Jussieu 75252 Paris CEDEX 05, France
b Department of Physics and Astronomy, University of Turku, FIN-20014 Turku, Finland
c Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China
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DOI: https://doi.org/10.3842/SIGMA.2011.061
Abstract: 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 $b_0>0$, which allows special kinds of solitons in the parameter range $-b_0/3<k<b_0$.
Keywords: lattice Boussinesq equation; integrable lattice equations; solitons; kinks.
Received: May 24, 2011; in final form July 1, 2011; Published online July 6, 2011
Bibliographic databases:
Document Type: Article
MSC: 35C09, 37K10, 39A14
Language: English
Citation: Jarmo Hietarinta, Da-jun Zhang, “Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation”, SIGMA, 7 (2011), 061, 14 pp.
Citation in format AMSBIB
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\by Jarmo Hietarinta, Da-jun Zhang
\paper Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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