Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
arXiv:2412.19435 · doi:10.1088/1402-4896/adce42
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.
12 pages, no figures