arXiv subjects

Vladimir V Sokolov

Publications and source records attributed to Vladimir V Sokolov.

2 recordsLinked to original sources

arXiv2006

Classification of integrable polynomial vector evolution equations

Several classes of systems of evolution equations with one or two vector unknowns are considered. We investigate also systems with one vector and one scalar unknown. For these classes all equations having the simplest higher symmetry are listed.

nlin.SI↗

arXiv2004

Integrable quadratic Hamiltonians on so(4) and so(3,1)

We investigate a special class of quadratic Hamiltonians on so(4) and so(3,1) and describe Hamiltonians that have additional polynomial integrals. One of the main results is a new integrable case with an integral of sixth degree.

nlin.SI↗