Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500177 | Journal of Geometry and Physics | 2017 | 26 Pages |
Abstract
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equations. For each family, the equations arise as reductions of a partial differential-difference equation in one continuous and two discrete variables, which is a realization of a general integrable equation in bidifferential calculus. This allows to derive a binary Darboux transformation and also self-consistent source extensions via general results of bidifferential calculus. Exact solutions are constructed from the simplest seed solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
F. Müller-Hoissen, O. Chvartatskyi, K. Toda,