On Darboux integrability of discrete 2D Toda lattices
Sergey V.Smirnov
TL;DR
This paper proves Darboux integrability for certain semidiscrete and discrete 2D Toda lattices associated with Lie algebras of types A and C, advancing understanding of integrable discrete systems.
Contribution
It establishes Darboux integrability for specific classes of discrete 2D Toda lattices linked to Lie algebras of A and C series.
Findings
Darboux integrability is proved for semidiscrete 2D Toda lattices.
Darboux integrability is proved for discrete 2D Toda lattices.
Results apply to lattices associated with Lie algebras of types A and C.
Abstract
Darboux integrability of semidiscrete and discrete 2D Toda lattices corresponding to Lie algebras of A and C series is proved.
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