23 citations · 72 across the 16 of their papers we have counts for
4 papers · 1 filter
Classification of integrable Vlasov-type equations
A. V. Odesskii, M. V. Pavlov, V. V. Sokolov
Classification of integrable Vlasov-type equations is reduced to a functional equation for a generating function. A general solution of this functional equation is found in terms o…
Integrable Lagrangians and modular forms
E. V. Ferapontov, A. V. Odesskii
We investigate non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t}…
A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential
Alexander Odesskii
We construct a family of integrable hydrodynamic type systems with three independent and n>1 dependent variables in terms of solutions of linear system of PDEs with rational coeffi…
On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities
Alexander Odesskii, Vladimir Sokolov
A certain class of integrable hydrodynamic type systems with three independent and N dependent variables is considered. We choose the existence of a pseudopotential as a criterion…