Contents

Theoretical and Mathematical Physics


Vol. 224, No. 3, 2025


Research Articles

Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

A. R. Adem, A. Biswas, and Y. Yildirim p. 1509  abstract

Review of exact solutions and reductions of Monge–Ampère type equations

A. V. Aksenov and A. D. Polyanin p. 1527  abstract

Discontinuity structures in a micropolar magnetoelastic medium and methods for studying discontinuities in models with dispersion and a finite velocity of the wave propagation

I. B. Bakholdin p. 1567  abstract

Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes

V. V. Bulatov p. 1582  abstract

Minimal algebraic solutions of the sixth Painlevé equation

R. Conte p. 1595  abstract

Asymptotics of the Evans function for subsonic solitary waves in a micropolar electrically conductive elastic medium

V. I. Erofeev, A. T. Il’ichev, and V. Ya. Tomashpolskii p. 1613  abstract

Quantum calculus of Fibonacci divisors and Fermion–Boson entanglement for infinite hierarchy of \(N=2\) supersymmetric golden oscillators

O. K. Pashaev p. 1625  abstract

Solution of double and triple sine-Gordon equations

Yu. V. Pavlov p. 1644  abstract

Exact solutions and Bäcklund transformations for an extended second Painlevé equation

A. Pickering and Á. Torres Sánchez p. 1653  abstract

Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial

A. V. Porubov p. 1664  abstract

Formation of the region of phase transformations in the case of the conversion of CH\(_4\) hydrate into CO\(_2\) hydrate in a porous medium

G. G. Tsypkin p. 1671  abstract

Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics

A. I. Zemlyanukhin, A. V. Bochkarev, and Yu. A. Blinkov p. 1681  abstract