Geodesic

Sommaire du Fascicule no. 1

On solutions of matrix soliton equations
p. 3-15
Coupled KP and BKP hierarchies and the~corresponding symmetric functions
p. 16-46
Application of the~trigonal curve to a~hierarchy of generalized Toda lattices
p. 47-73
On the~integrable symplectic map and the~ $N$-soliton solution
p. 74-96
The~сigar soliton and the~Ricci flows perturbation solutions in the~two-dimensional string $\sigma$ model
p. 97-110
Quantum Coulomb problem in a~Gaussian time-dependent electric field within the~path integral formalism
p. 111-120
Khoroshkin--Tolstoy approach to quantum superalgebras
p. 121-149
Potts model on a~Cayley tree: a~new class of Gibbs measures
p. 150-162

Sommaire du Fascicule no. 2

Cauchy invariants and exact solutions of nonlinear equations of
p. 165-175
Extensions of Yang--Baxter sets
p. 176-189
Dissipative soliton dynamics of the~Landau--Lifshitz--Gilbert equation
p. 190-206
Self-oscillatory processes in a~discrete $RCL$-line with a~tunnel diode
p. 207-224
The emergence of Airy stress function in two-dimensional disordered packings of particles
p. 225-231
Local dynamics of the~model of a~semiconductor laser with delay
p. 232-241
On the~problem of classifying integrable chains with three independent variables
p. 242-268
Stability of a~stationary solution of a~system of activator--inhibitor-type equations with a~double-scale internal transition layer
p. 269-288
Variational formulation of the~problem on vibrations of a~beam with a~moving spring-loaded support
p. 289-296
On unstable contrast structures in one-dimensional reaction--diffusion--advection problems with discontinuous sources
p. 297-310
Minimizing the~number of heteroclinic curves of a~3-diffeomorphism with fixed points with pairwise different Morse
p. 311-317
Existence of solutions of a~system of two ordinary differential equations with a~modular--cubic type nonlinearity
p. 318-335

Sommaire du Fascicule no. 3

Local attractors of one of the~original versions of the~Kuramoto--Sivashinsky equation
p. 339-359
Contrast structures in the~reaction-- advection--diffusion problem appearing in a~drift--diffusion model of a~semiconductor in the~case of nonsmooth reaction
p. 360-376
Integrals of tau functions: A~round dance tau function and multimatrix integrals
p. 377-387
Chaos game in an~extended hyperbolic plane
p. 388-400
Integrability of the~vector nonlinear Schr{\"o}dinger--Maxwell--Bloch equation and the~ Cauchy matrix approach
p. 401-420
A~novel kind of a~multicomponent hierarchy of discrete soliton equations and its application
p. 421-436
A~type of multicomponent nonisospectral generalized nonlinear Schr\"{o}dinger hierarchies
p. 437-464
Evolution of spherical perturbations in the~cosmological
p. 465-499
Effect of a~cloud of strings and quintessence on a~phase transition of charged rotating AdS black holes
p. 500-517