An algebraic criterion of the Darboux integrability of differential-difference equations and systems-Reference-Cited by-同舟云学术

An algebraic criterion of the Darboux integrability of differential-difference equations and systems

Published:2021-11-25 Issue:50 Volume:54 Page:505201
ISSN:1751-8113
Container-title:Journal of Physics A: Mathematical and Theoretical
language:
Short-container-title:J. Phys. A: Math. Theor.

Author:

Habibullin I T^ORCID,Kuznetsova M N^ORCID

Abstract

Abstract The article investigates systems of differential-difference equations of hyperbolic type, integrable in sense of Darboux. The concept of a complete set of independent characteristic integrals underlying Darboux integrability is discussed. A close connection is found between integrals and characteristic Lie–Rinehart algebras of the system. It is proved that a system of equations is Darboux integrable if and only if its characteristic algebras in both directions are finite-dimensional.

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1751-8121/ac37e8/pdf

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