Geodesic

Sommaire du Fascicule no. 1

Binary relations, B\"acklund transformations, and wave packet propagation
p. 3-22
Modified series of integrable discrete equations on a~quadratic lattice with a~nonstandard symmetry structure
p. 23-40
Dispersionless integrable systems and the~Bogomolny equations on an~Einstein--Weyl geometry background
p. 41-54
Integrable system of generalized relativistic interacting tops
p. 55-67
Two-component generalized Ragnisco--Tu equation and the~Riemann--Hilbert problem
p. 68-83
Nonlinear radion interactions
p. 84-101
Virasoro symmetries of multicomponent Gelfand--Dickey systems
p. 102-123
Construction of an~equivalent energy-dependent potential by a~Taylor series expansion
p. 124-136
Self-consistent approximation in the~Ising model of pure and dilute magnets using a~pair correlation
p. 137-145
Phase transitions for models with a~continuum set of spin values on
p. 146-155
Construction of the~Dirac operator on the~$q$-deformed quantum space $EAdS^2$ using a~generalized $q$-deformed Ginsparg--Wilson algebra
p. 156-167
Erratum to: A.~D.~Alhaidari ``Series solution of a~ten-parameter second-order differential

Sommaire du Fascicule no. 2

Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi--Lie systems
p. 171-189
Reductions of the~strict KP hierarchy
p. 190-207
Multisolitons of the~$U(N)$ generalized Heisenberg magnet model and the~Yang--Baxter relation
p. 208-221
Coincidences between Calabi--Yau manifolds of Berglund--H\"ubsch type and Batyrev polytopes
p. 222-241
Heat kernel: Proper-time method, Fock--Schwinger gauge, path integral, and Wilson line
p. 242-261
Finite-size correction to the~scaling of free energy in the~dimer model on a~hexagonal domain
p. 262-283
Quantum mechanics of stationary states of particles in a~space--time of classical black holes
p. 284-323
Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity
p. 324-345
Erratum to: S.~N.~Natanzon, A.~Yu.~Orlov

Sommaire du Fascicule no. 3

Fundamental solution of the~stationary Dirac equation with a~linear
p. 349-367
Infinite number of eigenvalues of $2\times 2$ operator matrices: Asymptotic discrete spectrum
p. 368-390
Commutator identities and integrable hierarchies
p. 391-399
Calogero--Sutherland system at a~free fermion point
p. 400-419
Riemann-Hilbert problem for the modified Landau-Lifshitz equation with nonzero boundary conditions
p. 420-450
Obtaining multisoliton solutions of the~$(2+1)$-dimensional Camassa--Holm system using Darboux transformations
p. 451-466
Semiclassical asymptotic spectrum of the~two-dimensional Hartree operator near a~local maximum of the~eigenvalues in a~spectral cluste
p. 467-483
Mutual transition of Andreev and Majorana bound states in a~superconducting gap
p. 484-501
A~note on pair-dependent linear statistics with a~slowly increasing variance
p. 502-512
Dark $f(\mathcal{R},\varphi,\chi)$ universe with Noether symmetry
p. 513-528