Contents

Theoretical and Mathematical Physics


Vol. 216, No. 2, 2023


Research Articles

Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF–vertex relations and the associative Yang–Baxter equation

K. R. Atalikov, and A. V. Zotov p. 1083  abstract

Dyson diffusion on a curved contour

A. V. Zabrodin p. 1104  abstract

Polygon gluing and commuting bosonic operators

A. Yu. Orlov p. 1110  abstract

\(\text{Spin}^c\)-structures and Seiberg–Witten equations

A. G. Sergeev p. 1119  abstract

Cauchy problems related to integrable matrix hierarchies

G. F. Helminck p. 1124  abstract

Vector fields and invariants of the full symmetric Toda system

A. S. Sorin, Yu. B. Chernyakov, and G. I. Sharygin p. 1142  abstract

Construction of localized particular solutions of chains with three independent variables

M. N. Kuznetsova p. 1158  abstract

Integration of the two-dimensional Heisenberg model by methods of differential geometry

A. B. Borisov p. 1168  abstract

Four-component integrable hierarchies of Hamiltonian equations with (\(m+n+2\))th-order Lax pairs

Wen-Xiu Ma p. 1180  abstract

Solving the modified Camassa–Holm equation via the inverse scattering transform

Hui Mao, Yu Qian, and Yuanyuan Miao p. 1189  abstract

On a class of quadratic conservation laws for Newton equations in Euclidean space

A. V. Tsiganov, and E. O. Porubov p. 1209  abstract

The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures

F. M. Mukhamedov, M. M. Rahmatullaev, A. M. Tukhtabaev, and R. Mamadjonov p. 1238  abstract