2 papers
nlin.SI2026
Global Results on the Classification of Two-Component Integrable Evolutionary Systems
Alexander V. Mikhailov, Vladimir Novikov, Jing Ping Wang
We derive necessary and sufficient integrability conditions for two-component polynomial evolutionary systems of odd order in dimensions. Integrable systems are members of…
nlin.SI2025
Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
M. A. Chirkov, A. V. Mikhailov, D. V. Talalaev
Using the methods of quantisation ideals, we construct a family of quantisations corresponding to Case alpha in Sergeev's classification of solutions to the tetrahedron equation. T…