Abstract
Various results known for one-dimensional periodic Toda lattice equations are generalised to two dimensions. In particular, a generalisation of the Kac-van Moerbeke equations is derived from a set of first-order differential equations of which the zero gauge field strength is an integrability condition. The generalised equations are shown to be the unification of two different periodic Toda lattice equations and they naturally produce the Backlund transformation. The two lattice equations are simultaneously derived from a pair of 2(n+1)*2(n+1) potentials satisfying the zero field strength condition.
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.
