Vol. 214, No. 2, 2023

Theoretical and Mathematical Physics

Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems

A. V. Dymov p. 153 abstract

Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions

A. B. Khasanov, Kh. N. Normurodov, and U. O. Khudaerov p. 170 abstract

Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation

Rusuo Ye, and Yi Zhang p. 183 abstract

Noncommutative generalization and quasi-Gramian solutions of the Hirota equation

H. W. A. Riaz p. 194 abstract

On one interpolation inequality and its application to the Bürgers equation

Sh. M. Nasibov p. 207 abstract

Multi-point passage probabilities and Green’s functions for SLE\({}_{8/3}\)

O. V. Alekseev p. 210 abstract

Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model

V. V. Bekresheva p. 231 abstract

Extended plethystic vertex operators and plethystic universal characters

Chuanzhong Li, Yong Zhang, and Huanhe Dong p. 238 abstract

Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes

I. G. Bostrem, A. S. Ovchinnikov, E. G. Ekomasov, Vl. E. Sinitsyn, A. E. Fedorov, and A. A. Voronina p. 250 abstract

Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales

F. Tamburini, and I. Licata p. 265 abstract

Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree

G. I. Botirov, and Z. E. Mustafoyeva p. 273 abstract

Fixed points of an infinite-dimensional operator related to Gibbs measures

U. R. Olimov, and U. A. Rozikov p. 282 abstract