Contents

Theoretical and Mathematical Physics


Vol. 217, No. 2, 2023


Research Articles

Dirac representation of the \(SO(3,2)\) group and the Landau problem

S. C. Tiwari p. 1621  abstract

\(\mathcal S\)-modular transformation of the \(\mathcal N=2\) superconformal algebra characters

M. R. Bahraminasab, and M. Ghominejad p. 1640  abstract

Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem

L. G. Mardoyan p. 1661  abstract

Tau-function of the B-Toda hierarchy

V. V. Prokofev, and A. V. Zabrodin p. 1673  abstract

Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions

G. U. Urazboev, A. B. Yakhshimuratov, and M. M. Khasanov p. 1689  abstract

Discretization of the modified Korteweg–de Vries–sine Gordon equation

Aye Aye Cho, Jing Wang, and Da-jun Zhang p. 1700  abstract

The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid

F. M. Al-Askar p. 1717  abstract

\(T\overline T\) deformation of the Calogero–Sutherland model via dimensional reduction

D. V. Pavshinkin p. 1726  abstract

Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity

M. O. Korpusov, A. Yu. Perlov, A. V. Timoshenko, and R. S. Shafir p. 1743  abstract

On Bäcklund transformations for some second-order nonlinear differential equations

V. V. Tsegel’nik p. 1755  abstract

Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries

R. N. Garifullin p. 1767  abstract

On the scattering problem for a potential decreasing as the inverse square of distance

V. A. Gradusov, and S. L. Yakovlev p. 1777  abstract

Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet

S. V. Semkin, and V. P. Smagin p. 1788  abstract

Symmetry transformations of the vortex field statistics in optical turbulence

V. N. Grebenev, A. N. Grishkov, and S. B. Medvedev p. 1795  abstract


Erratum

Erratum to: Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature

V. A. Krivorol, and M. Yu. Nalimov p. 1806  abstract