M. P. Kolesnikov

activity

20222025

most citedNon-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P

_{34}

and P

_{3}

7 citations · 13 across the 3 of their papers we have counts for

collaborators

3 papers

nlin.SI2025

The negative symmetry classification problem

M. P. Kolesnikov

A negative symmetry is a nonlocal symmetry of special type. In this paper, we introduce a method for constructing negative symmetries from consistent triplets of differential and d…

nlin.SI2023★ 7 cited

Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P $_{34}$ and P $_{3}$

V. E. Adler, M. P. Kolesnikov

We study reductions of the Korteweg--de Vries equation corresponding to stationary equations for symmetries from the noncommutative subalgebra. An equivalent system of $n$ second-o…

nlin.SI2022★ 6 cited

Non-Abelian Toda lattice and analogs of Painlevé III equation

V. E. Adler, M. P. Kolesnikov

In integrable models, stationary equations for higher symmetries serve as one of the main sources of reductions consistent with dynamics. We apply this method to the non-Abelian tw…

The negative symmetry classification problem

Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34​ and P3​

Non-Abelian Toda lattice and analogs of Painlevé III equation

Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P $_{34}$ and P $_{3}$