Geodesic

Sommaire du Fascicule no. 1

Lagrangian manifolds and the~construction of asymptotics for (pseudo)differential equations with~localized right-hand sides
p. 3-29
Integration of the Hirota equation with time-dependent coefficients
p. 30-42
Exact solitons of an~$N$-component discrete coupled integrable system
p. 43-80
Relativistic linear oscillator under the~action of a~constant external force. Transition amplitudes and the~Green's function
p. 81-101
Pr\"ufer transformation and its application to the~numerical description of the~motion of quantum particles with various spins in the~fields of classical black holes
p. 102-121
Gateway-like absurdly benign traversable wormhole solutions
p. 122-139
Vulnerability of quantum cryptography with phase--time coding under attenuation conditions
p. 140-152
Generalized uncertainty relations, particles, black holes, and Casimir effect in the~three-dimensional quantum vacuum
p. 153-176

Sommaire du Fascicule no. 2

Asymptotic expansions for a~class of singular integrals emerging in nonlinear wave systems
p. 179-197
Integrating the~modified Korteweg--de~Vries--\allowbreak sine-Gordon equation in the~class of periodic infinite-gap functions
p. 198-210
Two-component complex modified Korteweg-de Vries equations: new soliton solutions from novel binary Darboux transformation
p. 211-223
Noncommutative generalization and quasi-Gramian solutions of the~Hirota equation
p. 224-238
On one interpolation inequality and its application to the~B\"urgers equatio
p. 239-242
Multi-point passage probabilities and Green's functions for SLE${}_{8/3}$
p. 243-267
Structure of the~canonical uniton factorization of a~solution of a~noncommutative unitary sigma model
p. 268-275
Extended plethystic vertex operators and plethystic universal characters
p. 276-290
Theory of the~anticontinuous limit for spin Hamiltonians. Search for discrete breather modes
p. 291-307
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales
p. 308-317
Gibbs measures for the~Potts model with a~countable set of spin values on a~Cayley tree
p. 318-328
Fixed points of an infinite-dimensional operator related to Gibbs measures
p. 329-344

Sommaire du Fascicule no. 3

Virasoro symmetries of a~coupled rational reduced 2D Toda hierarchy
p. 347-358
Multisoliton solutions of the~two-component Camassa--Holm equation and its reductions
p. 359-386
Constrained discrete KP hierarchy: the~constraint on the~tau functions and gauge transformations
p. 387-409
Applications of the~Sylvester equation for the~lattice BKP system
p. 410-426
Nonlinear interference of solitons and waves in the~domain magnetic structure
p. 427-468
The~description of generalized translation-invariant $p$-adic
p. 469-485
The~$\pm J$ distribution in the~mixed spin-$1/2$ and $5/2$
p. 486-499
A note on islands in Schwarzschild black holes
p. 500-516
Machine learning of the~well-known things
p. 517-528