40 citations · 62 across the 3 of their papers we have counts for
3 papers
nlin.SI2006★ 22 cited
On recursion operators for elliptic models
Dmitry K. Demskoi, Vladimir V. Sokolov
New quasilocal recursion and Hamiltonian operators for the Krichever-Novikov and the Landau-Lifshitz equations are found. It is shown that the associative algebra of quasilocal rec…
nlin.SI2003★ 40 cited
Poisson maps and integrable deformations of Kowalevski top
I. V. Komarov, V. V. Sokolov, A. V. Tsiganov
We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the Lie algebras and . Using this map we establish a connection between the…
nlin.SI2003
A new class of linearizable equations
R. Hernandez Heredero, A. Shabat, V. Sokolov
Using the symmetry approach, we find a class of integrable nonlinear PDEs with dispersion law . All these equations turn out to be linearizable by means of a diff…