V. Novikov

collaborators

2 papers

nlin.SI2024

Integrability of Nonabelian Differential-Difference Equations: the Symmetry Approach

Vladimir Novikov, Jing Ping Wang

We propose a novel approach to tackle integrability problem for evolutionary differential-difference equations (D $Δ$ Es) on free associative algebras, also referred to as nonabelian…

nlin.SI2023

Higher-order reductions of the Mikhalev system

E. V. Ferapontov, V. Novikov, I. Roustemoglou

We consider the 3D Mikhalev system, $u_{t} = w_{x}, u_{y} = w_{t} - u w_{x} + w u_{x},$ which has first appeared in the context of KdV-type hierarchies. Under the reduction $w = f (u)$ , one ob…