Contents

Theoretical and Mathematical Physics


Vol. 225, No. 3, 2025


Research Articles

Discrete symmetries of integrable differential equations

A. K. Pogrebkov p. 2067  abstract

Fractional differential generalization of the Burgers hierarchy

S. Yu. Lukashchuk p. 2077  abstract

On the smoothness of the solution of one nonlinear equation with gradient nonlinearity

A. K. Matveeva p. 2089  abstract

Tau functions of the UC hierarchy as partition functions of matrix models

Chuanzhong Li, A. D. Mironov, and A. Yu. Orlov p. 2105  abstract

On inverse variational problem for system with one degree of freedom

O. E. Zubelevich p. 2128  abstract

A combined Liouville integrable hierarchy associated with a sixth-order matrix spectral problem and its integrable reductions

Yadong Zhong, Jingjing Ge, and Yi Zhang p. 2134  abstract

Breather, rogue wave, lump, and interaction solutions of the \((2+1)\)-dimensional generalized nonlocal Mel’nikov system

Jiaqi Wang, Zhonglong Zhao, and Yindi Liu p. 2167  abstract

Soliton, breather, and rogue wave for the Lakshmanan–Porsezian–Daniel equation with self-consistent sources

Fei Li, Yehui Huang, and Yuqin Yao p. 2188  abstract

Quantization of electromagnetic field in the Schwarzschild spacetime

I. P. Volobuev, V. O. Egorov, and M. N. Smolyakov p. 2203  abstract

Fluorescence of incoherently pumped open polar quantum system driven by a nonresonant pulse

A. V. Soldatov p. 2221  abstract

Existence of three-particle bound states in optical lattice

S. N. Lakaev, Sh. I. Khamidov, and S. S. Ulashov p. 2235  abstract

Temperature dependence of the spin-flop transition in a topological antiferromagnet MnBi\(_2\)Te\(_4\)

V. V. Val’kov, A. O. Zlotnikov, and A. Gamov p. 2251  abstract