20 citations · 45 across the 4 of their papers we have counts for
4 papers
Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator
A. G. Meshkov, V. V. Sokolov
All non-equivalent integrable evolution equations of third order of the form are found.
Classification of constant solutions for associative Yang-Baxter equation on
V. Sokolov
We find all non-equivalent constant solutions for classical associative Yang-Baxter equation for . New examples found in the classification yield the corresponding quadratic…
Non-homogeneous systems of hydrodynamic type possessing Lax representations
A. V. Odesskii, V. V. Sokolov
We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a…
Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
E. V. Ferapontov, A. Moro, V. V. Sokolov
We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamilton…