4 citations · 8 across the 4 of their papers we have counts for
4 papers
Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations
Sergey P. Tsarev
We give a new procedure for generalized factorization and construction of the complete solution of strictly hyperbolic linear partial differential equations or strictly hyperbolic…
On rational definite summation
Sergey P. Tsarev
We present a partial proof of van Hoeij-Abramov conjecture about the algorithmic possibility of computation of finite sums of rational functions. The theoretical results proved in…
On a class of three-dimensional integrable Lagrangians
E. V. Ferapontov, K. R. Khusnutdinova, S. P. Tsarev
We characterize non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})…
Tri-Hamiltonian Structures of The Egorov Systems
M. V. Pavlov, S. P. Tsarev
The description of the Egorov hydrodynamic type systems is presented in language of conservation laws. Under extra conditions of semisimplicity and homogeneity tri-Hamiltonian stru…