Geodesic

Sommaire du Fascicule no. 1

Analysis in differential algebras and modules
p. 3-21
Cartan matrices in the~Toda--Darboux chain theory
p. 22-29
Structure of the~projective group in a~pseudo-Riemannian space
p. 30-41
Asymptotic solution of the~multidimensional Burgers equation near a~singularity
p. 42-49
The~AKNS hierarchy and finite-gap Schr\"odinger potentials
p. 50-63
Simple exact solutions and asymptotic localized solutions of the~two-dimensional massless Dirac equation for graphene
p. 64-69
Binary representation of coordinate and momentum in quantum mechanics
p. 70-87
The~Green's function in the~problem of charge dynamics on a~one-dimensional lattice with an~impurity center
p. 88-98
Entanglement of multipartite fermionic coherent states for pseudo-Hermitian Hamiltonians
p. 99-116
Extremality of the~translation-invariant Gibbs measures for the~Potts model on the~Cayley tree
p. 117-134
Gausian packets and beams with focal points in vector problems of plasma physics
p. 135-160
New formulas related to analytic number theory and their applications in statistical physics
p. 161-166

Sommaire du Fascicule no. 2

Nonlocal symmetries of integrable linearly degenerate equations: A~comparative study
p. 169-192
Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations
p. 193-213
Higher-order dispersive deformations of multidimensional Poisson brackets of hydrodynamic type
p. 214-237
Skyrmion states in chiral liquid crystals
p. 238-253
Matrix Kadomtsev--Petviashvili equation: Tropical limit, Yang--Baxter and pentagon maps
p. 254-265
Multiparametric families of solutions of the~Kadomtsev--Petviashvili-I equation, the~structure of their rational representations, and multi-rogue waves
p. 266-293
A~direct algorithm for constructing recursion operators and Lax pairs for integrable models
p. 294-312
Haantjes manifolds with symmetry
p. 313-327
On integrable non--autonomous Li\'{e}nard--type equations
p. 328-340

Sommaire du Fascicule no. 3

Inverse scattering transform for the~nonlocal reverse space--time nonlinear Schr\"odinger equation
p. 343-372
Ermakov--Pinney and Emden--Fowler equations: New solutions from novel B\"acklund transformations
p. 373-389
Chiral trace relations in $\mathcal N=2^*$ supersymmetric gauge theories
p. 390-403
Phase resonances of the~NLS rogue wave recurrence in the~quasisymmetric case
p. 404-418
Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization
p. 419-433
Generalized Darboux transformation for the~discrete Kadomtsev--Petviashvili equation with self-consistent sources
p. 434-448
Unfamiliar aspects of B\"acklund transformations and an~associated Degasperis--Procesi equation
p. 449-464
Separation of variables in the~anisotropic Shottky--Frahm model
p. 465-486
Haantjes algebras of the~Lagrange top
p. 487-502
Construction of exact solutions for equilibrium configurations of the~boundary of a~conducting liquid deformed by an~external electric field
p. 503-516