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

Dmitry K. Demskoi

doi:10.1088/1402-4896/adce42

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

Dmitry K. Demskoi

Computing, Mathematics and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 recurrence 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.

Original language	English
Article number	055237
Pages (from-to)	1
Number of pages	9
Journal	Physica Scripta: an international journal for experimental and theoretical physics
Volume	100
Issue number	5
DOIs	https://doi.org/10.1088/1402-4896/adce42
Publication status	Published - 01 May 2025

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10.1088/1402-4896/adce42

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Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
Demskoi, D., 27 Dec 2024.
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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 recurrence 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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AU - Demskoi, Dmitry K.

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N2 - 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 recurrence 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.

AB - 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 recurrence 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.

KW - Darboux integrable equation

KW - ferapontov-shabat-yamilov lattice

KW - general solution

KW - characteristic integral

KW - toda-type lattice

U2 - 10.1088/1402-4896/adce42

DO - 10.1088/1402-4896/adce42

M3 - Article

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JF - Physica Scripta: an international journal for experimental and theoretical physics

IS - 5

M1 - 055237

ER -

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

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

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