Geodesic

Sommaire du Fascicule no. 1

Exact solutions of the Liouville equation in multidimensional spaces
p. 3-19
New example of a nonlinear hyperbolic equation possessing integrals
p. 20-26
Noncanonical time transformations relating finite-dimensional integrable systems
p. 27-53
Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation
p. 54-63
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
p. 64-71
Vacuum energy induced by a singular magnetic vortex
p. 72-81
Nonperturbative effective action of the $N=1$ supersymmetric Yang--Mills theory
p. 82-98
The reduced semiclassical description method
p. 99-115
Discrete levels in the continuum and tunneling
p. 116-129
On a nonideal Bose gas model
p. 130-143
Use of the Bogoliubov method of compensating ``dangerous'' diagrams to investigate magnetic superconductors
p. 144-167
Energy flows of gravitational waves
p. 168-176

Sommaire du Fascicule no. 2

Piecewise smoothness of conjugate homeomorphisms of a circle with corners
p. 179-192
Schr\"odinger--Belavkin equations and associated Kolmogorov and Lindblad equations
p. 193-207
Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids
p. 208-221
Modulation instability of soliton trains in fiber communication systems
p. 222-236
Laplace invariants of hyperbolic equations linearizable by a differential substitution
p. 237-247
Generalized Heisenberg equations on $\mathbb Z$-graded Lie algebras
p. 248-255
Local variational differential operators in field theory
p. 256-276
Schr\"odinger operator with a perturbed small steplike potential
p. 277-290
Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum.~III
p. 291-308
Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion
p. 309-314
A new class of solutions of the Dirac equation
p. 315-323
Constrained superpotentials in harmonic gauge theories with eight supercharges
p. 324-331
Application restrictions for two-level models of the resonance interaction of electrons with an alternating electric field in two-barrier structures
p. 332-341
Energy flows of a gravitational wave in a liquid sphere
p. 342-351
Appeal of Presidium of Russian Academy of Sciences

Sommaire du Fascicule no. 3

Founding of the Academy of Sciences
p. 355-357
General quantum antibrackets
p. 358-379
V.~A.~Fock and N.~N.~Bogoliubov and their role in establishing modern quantum field theory
p. 380-393
Nonlocal hydrodynamic equations and BBGKY hierarchy reduction for hard spheres
p. 394-399
Works of Vladimir Aleksandrovich Fock in quantum field theory (On the centennial of the birth of V.\,A.~Fock)
p. 400-416
Constructing the light-front QCD Hamiltonian
p. 417-437
Spin dynamics in the generalized ferromagnetic Kondo model for manganites
p. 438-450
False vacuum decay in the de~Sitter space--time
p. 451-472
Recurrent calculations of multipole matrix elements
p. 473-481
The analytic approach in quantum chromodynamics
p. 482-510
A quantum Teichm\"uller space
p. 511-528