3 citations · 4 across the 3 of their papers we have counts for
3 papers
nlin.SI2026★ 3 cited
On Bäcklund transformations preserving the Darboux integrability of hyperbolic equations
Sergey Ya. Startsev
This paper deals with two kinds of Bäcklund transformations for scalar hyperbolic partial differential equations. We prove that both these types of transformations map solutions of…
nlin.SI2026
A new family of Darboux integrable partial differential equations
S. Ya. Startsev
A new family of Darboux integrable partial differential equations is constructed. The minimal orders of integrals in both characteristics can simultaneously be arbitrarily high for…
nlin.SI2022★ 1 cited
On Darboux non-integrability of the Hietarinta equation
S. Ya. Startsev
The autonomous Hietarinta equation is a well-known example of the quad-graph discrete equation which is consistent around the cube. In a recent work, it was conjectured that this e…