23 citations · 72 across the 15 of their papers we have counts for
5 papers · 1 filter
Systems of Gibbons-Tsarev type and integrable 3-dimensional models
A. V. Odesskii, V. V. Sokolov
We review the role of Gibbons-Tsarev-type systems in classification of integrable multi-dimensional hydrodynamic-type systems. Our main observation is an universality of Gibbons-Ts…
Integrable pseudopotentials related to elliptic curves
Alexander Odesskii, Vladimir Sokolov
We construct integrable pseudopotentials with an arbitrary number of fields in terms of elliptic generalization of hypergeometric functions in several variables. These pseudopotent…
Integrable pseudopotentials related to generalized hypergeometric functions
Alexander Odesskii, Vladimir Sokolov
We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dim…
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}…