Geodesic

Sommaire du Fascicule no. 1

Spectrum of the periodic Dirac operator
p. 3-17
Ginzburg--Landau vortex analogues
p. 18-35
Bosonic and fermionic white noises and the reflection process
p. 36-47
Discretizations of the Landau--Lifshits equation
p. 48-61
Multicomponent generalization of the hierarchy of the Landau--Lifshitz equation
p. 62-71
Canonical transformations of the extended phase space and integrable systems
p. 72-94
Adelic Feynman amplitudes in lower orders of perturbation theory
p. 95-109
Gauge invariance of the Landau nonlinear damping decrement of Bose excitations in a quark--gluon plasma: Part I
p. 110-135
Many-particle densities
p. 136-147
Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system
p. 148-168
Multidimensional analogues of the geometric $s\leftrightarrow t$ duality
p. 169-176

Sommaire du Fascicule no. 2

Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $
p. 179-214
Hydrodynamic profiles and constants of motion from $d$-branes
p. 215-226
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators: I
p. 227-238
$p$-Adic and adelic harmonic oscillator with a time-dependent frequency
p. 239-248
Two-body problem on spaces of constant curvature: I.~Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system
p. 249-264
Exact solutions of the nonlinear diffusion equation $u_t=\Delta\log u+ \lambda u$ in a two-dimensional coordinate space
p. 265-278
Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems
p. 279-291
Gauge invariance of the Landau nonlinear damping decrement of Bose excitations in a quark--gluon plasma: Part II
p. 292-309
An integrable system related to the spherical top and the Toda chain
p. 310-322
Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction
p. 323-338
Vapor--liquid critical-point properties of a symmetric binary fluid mixture
p. 339-352

Sommaire du Fascicule no. 3

A K\"ahler structure of the triplectic geometry
p. 355-372
Integrable $N$-dimensional systems on the Hopf algebra and $q$-deformations
p. 373-390
Auxiliary transfer matrices for three-dimensional integrable models
p. 391-409
The disordered phase of the inhomogeneous Potts model is extremal on the Cayley tree
p. 410-418
Reductions of the Volterra and Toda chains
p. 419-425
Degenerate integrable systems on the plane with a cubic integral of motion
p. 426-444
Equivalence of the Duffin--Kemmer--Petiau and Klein--Gordon--Fock equations
p. 445-462
An integral semiclassical method for calculating the spectra for centrally symmetric potentials
p. 463-480
Two-body problem on spaces of constant curvature: II.~Spectral properties of the Hamiltonian
p. 481-489
Random point fields with Markovian refinements and the geometry of fractally disordered media
p. 490-505
Model of a spatially inhomogeneous one-dimensional active medium
p. 506-519
Complex-temperatures zeros of the partition function in spin-glass models
p. 520-528