Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

[摘要] 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 .

[关键词] lattice Boussinesq equation;integrable lattice equations;solitons;kinks