Jarmo Hietarinta, Da-jun Zhang, “Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation”, SIGMA, 2011, том 7,061, 14 стр.

Эта публикация цитируется в 21 статьях

Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

Jarmo Hietarinta^ab, Da-jun Zhang^c

^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

Аннотация: 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 $-b_0/3<k<b_0$.

Ключевые слова: lattice Boussinesq equation; integrable lattice equations; solitons; kinks.

MSC: 35C09, 37K10, 39A14

Поступила: 24 мая 2011 г.; в окончательном варианте 1 июля 2011 г.; опубликована 6 июля 2011 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2011.061