3 papers
nlin.SI2026
Vector systems of Painlevé type
V. E. Adler, V. V. Sokolov
The group reduction procedure is applied to vector generalizations of the NLS, mKdV, and KdV equations. The resulting ODE systems admit isomonodromic Lax representations and are mu…
nlin.SI2025
On vector Schwarz-KdV equation
M. Balakhev, V. Sokolov
A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for…
nlin.SI2025
Novikov equations for commuting differential operators of orders 3,4,5
G. B. Shabat, V. V. Sokolov, A. V. Tsiganov
We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method…