Geodesic

Sommaire du Fascicule no. 1

Matrix extension of multidimensional dispersionless integrable hierarchies
p. 3-15
Multi-pole extension of the~elliptic models of interacting integrable tops
p. 16-45
Explicit breather solution of the~nonlinear Schr\"odinger equation
p. 46-58
Matrix extension of multidimensional dispersionless integrable hierarchies
p. 59-81
Overlap between usual and modified Bethe vectors
p. 82-100
A~$p$-arton model for modular cusp forms
p. 101-124
Emergent Planck mass and dark energy from affine gravity
p. 125-141
Cosmological models based on a~statistical system of scalar charged degenerate fermions and an~asymmetric Higgs scalar doublet
p. 142-183
On a~free boundary problem for the~relaxation transfer equation
p. 184-202

Sommaire du Fascicule no. 2

Mirror map for Fermat polynomials with a~nonabelian group of
p. 205-223
On the~group-theoretical approach to relativistic wave equations for arbitrary spin
p. 224-242
Integral problem for Schr\"{o}dinger-type equations with the~general elliptic part
p. 243-257
The~initial-boundary value for the~combined Schr\"{o}dinger and Gerdjikov--Ivanov equation on the~half-line via the~Riemann--Hilbert approach
p. 258-273
Riemann--Hilbert approach and $N$-soliton solutions of the~generalized mixed nonlinear Schr\"odinger equation with nonzero boundary conditions
p. 274-304
On the~$\bar\partial$-problem and dressing method for the~ complex vector modified KdV equation
p. 305-326
Lagrangian BRST formulation of massive higher-spin fields of
p. 327-350
Topological meaning of the~slope of the~Kolmogorov spectrum of magnetic turbulence
p. 351-366
Ground states for the~Potts model with competing interactions and a~countable set of spin values on a~Cayley tree
p. 367-377
Plasma oscillations in a~generalized Snyder space
p. 378-388
On the~first Newton law, the~existence of the~reference system corresponding to the~rest, and the~Galilei group
p. 389-394

Sommaire du Fascicule no. 3

Navier--Stokes equations, the~algebraic aspect
p. 397-413
Homothetic vector fields of LRS Bianchi type-I spacetimes via the~RIF tree approach
p. 414-426
Nonlinear evolutionary Schr\"odinger equation in the~supercritical case
p. 427-437
On modified $B$KP systems and generalizations
p. 438-464
Application of the~$\bar\partial$-dressing method to a~$(2+1)$-dimensional equation
p. 465-474
Differential equations for the~Majorana particle in $3+1$ and $1+1$ dimensions
p. 475-501
Majorana fermions, supersymmetry, and thermofield dynamics
p. 502-514
Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons
p. 515-542
Asymptotics of the~spectrum of a Hartree-type operator with a~screened Coulomb self-action potential near the~upper boundaries of spectral clusters
p. 543-560