332 citations · 1.3k across the 41 of their papers we have counts for
41 papers
An integrable hierarchy without a recursion operator
Sergei Sakovich
We study the Lax integrability of a nonlinear system of two coupled second-order evolution equations introduced by Ibragimov and Shabat. For this system we find a zero-curvature re…
On integrability of a third-order complex nonlinear wave equation
Sergei Sakovich
We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé test for integrability. We fi…
Integrability of one bilinear equation: singularity analysis and dimension
Sergei Sakovich
The integrability of a four-dimensional sixth-order bilinear equation associated with the exceptional affine Lie algebra is studied by means of the singularity analysis…
A new Painleve-integrable equation possessing KdV-type solitons
Sergei Sakovich
A new three-dimensional second-order nonlinear wave equation is introduced which passes the Painleve test for integrability and possesses KdV-type multisoliton solutions. Lax integ…
On a modified Vakhnenko-Parkes equation
Sergei Sakovich
We show that the modified Vakhnenko-Parkes equation, introduced recently by Wazwaz, is an avatar of the sine-Gordon equation.
On a new avatar of the sine-Gordon equation
Sergei Sakovich
A chain of transformations is found which relates one new integrable case of the generalized short pulse equation of Hone, Novikov and Wang [arXiv:1612.02481] with the sine-Gordon…