Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation

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 $-b_0/3<k<b_0$.

arXiv commentFigure 3 changed

References in corpus (3)

• Lax pair for the Adler (lattice Krichever-Novikov) System
• Boussinesq-like multi-component lattice equations and multi-dimensional consistency
• Multisoliton solutions to the lattice Boussinesq equation

Cited by in corpus (9)

• Bäcklund Transformations for the Boussinesq Equation and Merging Solitons
• Multi-Component Extension of CAC Systems
• Discrete Boussinesq-type equations
• Integrability of auto-Bäcklund transformations,and solutions of a torqued ABS equation
• Degree growth of lattice equations defined on a 3x3 stencil
• On the Lagrangian multiform structure of the extended lattice Boussinesq system
• Direct Linearization of extended lattice BSQ systems
• From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations
• On the Fourth-Order Lattice Gel'fand-Dikii Equations