Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice

Abstract

For the finite (non-periodic) systems obtained from a lattice introduced by Ferapontov and independently by Shabat and Yamilov, we present a quadrature-free general solution and a recurrent formula for the characteristic integrals. The derivation of these formulae relies on the underlying determinantal equations. We illustrate the results using a two-component system.

arXiv comment12 pages, no figures

References in corpus (2)

• On Darboux integrability of discrete 2D Toda lattices
• Construction of exact solutions of nonlinear PDE via dressing chain in 3D

Cited by in corpus (1)

• On a class of exact solutions of the Ishimori equation