Geodesic

Sommaire du Fascicule no. 1

Compatible metrics and the~diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type
p. 3-22
Recursion operators, conservation laws, and integrability conditions for difference equations
p. 23-49
The~effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems
p. 50-77
Vacuum polarization of a~scalar field on Lie groups and homogeneous spaces
p. 78-95
Quantum equations of motion for multimode laser generation with a~spatial dependence of the~atom interaction with the~field taken into account
p. 96-110
The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants
p. 111-122
Two stages of motion of anharmonic oscillators modeling fast particles in crystals
p. 123-135
The~Fibonacci--Penrose semigroup formalism and morphogenetic synthesis of quasicrystal mosaics
p. 136-160

Sommaire du Fascicule no. 2

Solutions of $p$-adic string equations
p. 163-170
Generalized Foldy--Wouthuysen transformation and pseudodifferential operators
p. 171-192
Special Lagrangian fibrations on the~flag variety $F^3$
p. 193-205
Destruction of solutions of wave equations in systems with distributed parameters
p. 206-213
An~integrable equation with nonsmooth solitons
p. 214-221
A~new extended matrix KP hierarchy and its solutions
p. 222-238
Asymptotic expansions of eigenvalues in the~continuous spectrum of a~regularly perturbed quantum waveguide
p. 239-263
Wigner functions for the~Landau problem in noncommutative quantum mechanics
p. 264-272
Theorem on energy distribution over degrees of freedom for a~quasistable symmetric anharmonic oscillator
p. 273-283
Singularity of the~``swallow-tail'' type and the~glass--glass transition in a~system of collapsing hard spheres
p. 284-294
Phase transitions in real gases and ideal Bose gases
p. 295-310
Nonuniqueness of a~Gibbs measure for a~model on the~Cayley tree
p. 311-322
Solutions of the~Klein--Gordon equation on manifolds with variable geometry including dimensional reduction
p. 323-336

Sommaire du Fascicule no. 3

Nonlinear Physics: Theory and Experiment VI
p. 339-341
Semiclassical short strings in $\text{AdS}_5\times S^5$
p. 342-353
Interpolating differential reductions of multidimensional integrable hierarchies
p. 354-363
A~new goldfish model
p. 364-376
New exact solutions of two-dimensional integrable equations using the~$\bar\partial$-dressing method
p. 377-393
Rational bundles and recursion operators for integrable equations on A.III-type symmetric spaces
p. 394-406
An~algebraic method for classifying S-integrable discrete models
p. 407-419
Asymptotic analysis of a~model of nuclear magnetic autoresonance
p. 420-431
Variational Lie algebroids and homological evolutionary vector
p. 432-447
Birkhoff strata of the~Grassmannian $\mathrm{Gr}^{(2)}$: Algebraic curves
p. 448-464
Integrable twofold hierarchy of perturbed equations and application to optical soliton dynamics
p. 465-478
Reciprocity of higher conserved charges in the~$\mathfrak{sl}(2)$ sector of the~$\mathcal{N}{=}4$ supersymmetric Yang--Mills theory
p. 479-483
Noncommutative mechanics and exotic Galilean symmetry
p. 484-495
Integrability of differential--difference equations with discrete kinks
p. 496-513
Chain of interacting $SU(2)_4$ anyons and quantum $SU(2)_k\times\overline{SU(2)_k}$ doubles
p. 514-528