3 citations · 5 across the 3 of their papers we have counts for
3 papers
nlin.SI2025
Darboux formulae for linear hyperbolic equations in discrete case
Sergey V. Smirnov
In the second half of the 19th century Darboux obtained determinant formulae that provide the general solution for a linear hyperbolic second order PDE with finite Laplace series.…
nlin.SI2018★ 2 cited
Factorization of Darboux-Laplace transformations for discrete hyperbolic operatros
Sergey V. Smirnov
Elementary Darboux--Laplace transformations for semidiscrete and discrete second order hyperbolic operators are classified. It is proved that in the (semi)-discrete case there are…
nlin.SI2012★ 3 cited
Semidiscrete Toda lattices
Sergey V. Smirnov
Integrable cut-off constraints for semidiscrete Toda lattice are studied in this paper. Lax presentation for semidiscrete analog of the -series Toda lattice is obtained. Nonloca…