19 citations · 23 across the 2 of their papers we have counts for
3 papers
nlin.SI2024
On a new 3D generalized Hunter-Saxton equation
Sergei Sakovich
The problem of integrability is studied for a 3D generalized Hunter-Saxton equation introduced recently by O.I. Morozov. A transformation is found which brings the equation into a…
nlin.SI2002★ 19 cited
Cyclic bases of zero-curvature representations: five illustrations to one concept
S. Yu. Sakovich
The paper contains five examples of using cyclic bases of zero-curvature representations in studies of weak and strong Lax pairs, hierarchies of evolution systems, and recursion op…
solv-int1999★ 4 cited
On two aspects of the Painleve analysis
Sergei Sakovich
We use the Calogero equation to illustrate the following two aspects of the Painleve analysis of nonlinear PDEs. First, if a nonlinear equation passes the Painleve test for integra…