21 citations · 57 across the 8 of their papers we have counts for
8 papers
Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type
A. V. Domrin, M. A. Shumkin, B. I. Suleimanov
We prove the meromorphy of solutions for a wide class of ordinary differential equations. These equations are given by invariant manifolds of non-linear partial differential equati…
Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation
B. I. Suleimanov, A. M. Shavlukov
We provide a general solution for a first order ordinary differential equation with a rational right-hand side, which arises in constructing asymptotics for large time of simultane…
Influence of small dispersion on self-focusing in spatially one-dimensional case
B. I. Suleimanov
The effect of the small dispersion on the self-focusing of solutions of the equations of nonlinear geometric optics in one-dimensional case is investigated. In the main order this…
Some features of bending of a rod under a strong longitudinal compression
A. A. Ershov, B. I. Suleimanov
Considered typical processes of rod bending under strong longitudinal compression. The dynamic equation of bending correspponds to a perturbation of the two- dimensional Laplace eq…
"Quantizations" of isomonodromic Hamiltonian Garnier system with two degrees of freedom
D. P. Novikov, B. I. Suleimanov
We construct solutions of analogues of the nonstationary Schrödinger equation corresponding to the polynomial isomonodromic Hamiltonian Garnier system with two degrees of freedom.…
"Quantum" linearization of Painlevé equations as a component of their pairs
Bulat Suleimanov
The procedure of the "quantum" linearization of the Hamiltonian ordinary differential equations with one degree of freedom is introduced. It is offered to be used for the classific…