Contents

Theoretical and Mathematical Physics


Vol. 221, No. 1, 2024


Research Articles

On some linear equations associated with dispersionless integrable systems

L. V. Bogdanov p. 1589  abstract

A combined generalized Kaup–Newell soliton hierarchy and its hereditary recursion operator and bi-Hamiltonian structure

Wen-Xiu Ma p. 1603  abstract

Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions

D. M. Polyakov p. 1615  abstract

Nonisospectral Kadomtsev–Petviashvili equations from the Cauchy matrix approach

A. Y. Tefera, and Da-jun Zhang p. 1633  abstract

Quasi-Grammian soliton and kink dynamics of an \(M\)-component semidiscrete coupled integrable system

A. Inam, and M. ul Hassan p. 1650  abstract

On the constrained discrete mKP hierarchies: Gauge transformations and the generalized Wronskian solutions

Ge Yi, Liyun Wang, Kelei Tian, and Ying Xu p. 1675  abstract

Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle

S. Supanyo, M. Tanasittikosol, and S. Yoo-Kong p. 1695  abstract

Self-gravitating Higgs field of an asymmetric binary scalar charge

Yu. G. Ignat’ev p. 1711  abstract

\(3\)-split Casimir operator of the \(sl(M|N)\) and \(osp(M|N)\) simple Lie superalgebras in the representation \(\operatorname{ad}^{\otimes 3}\) and the Vogel parameterization

A. P. Isaev, and A. A. Provorov p. 1726  abstract

Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction

V. A. Gradusov, and S. L. Yakovlev p. 1744  abstract

Effects of a global monopole on quantum systems with the exponential potential

F. Ahmed, and A. Bouzenada p. 1756  abstract

Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model

V. I. Kochkin p. 1766  abstract