Abstract
The lattice Boussinesq equation (BSQ) is a three-component difference-difference equation defined on an elementary square of the two-dimensional lattice, having three-dimensional consistency. We write the equations in the Hirota bilinear form and construct their multisoliton solutions in terms of Casoratians, following the methodology in our previous papers. In the construction it turns out that instead of the usual discretization of the exponential as [(a+k)/(a−k)]n, we need two different terms [(a−ωk)/(a−k)]n and [(a−ω2k)/(a−k)]n, where ω is a cubic root of unity ≠1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
