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arXiv · 2412.19435

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

Dmitry K. Demskoi
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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.

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Dmitry K. Demskoi. 2024-12-27. Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice. https://doi.org/10.1088/1402-4896%2Fadce42

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