Geodesic

Sommaire du Fascicule no. 1

Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parameterization
p. 3-22
Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$-invariant integrable
p. 23-46
Pure soliton solutions of the~nonlocal Kundu--nonlinear Schr\"odinger equation
p. 47-78
Weak asymptotics of the~wave function for an~$N$-particle system and asymptotic filtration
p. 79-96
Exponentially confining potential well
p. 97-111
Extremality of the~unique translation-invariant Gibbs measure for hard-core models on the~Cayley tree of order $k=3$
p. 112-124
Study of cylindrically symmetric solutions in an~$f(R)$ gravity background
p. 125-136

Sommaire du Fascicule no. 2

Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs
p. 139-148
Binary Darboux transformation for a~negative-order AKNS equation
p. 149-163
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a~$(2+1)$-dimensional KdV--mKdV equation
p. 164-185
Novikov equation: B\"acklund transformation and applications
p. 186-198
Thermodynamics of interacting systems of DNA molecules
p. 199-209
Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$
p. 210-224
Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from Nakajima--Yoshioka blowup relations
p. 225-244
Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory
p. 245-268
Dynamics of the~Friedmann universe with boundary terms added to the~action
p. 269-276

Sommaire du Fascicule no. 3

A Gelfand--Tsetlin-type basis for the~algebra $\mathfrak{sp}_4$ and
p. 279-294
WKB expansion for a~Yang--Yang generating function and the~Bergman tau function
p. 295-338
Darboux transformations for the~strict KP hierarchy
p. 339-360
Properties of solutions of two second-order differential equations with the~Painlev\'e property
p. 361-367
Finite-dimensional tau functions of the~universal character hierarchy
p. 368-383
Soliton-like excitations in weakly dispersive media
p. 384-399
Spatial Wilson loops in a~fully anisotropic model
p. 400-409
Localization in multiparticle Anderson models with weak interaction
p. 410-438
Holliday junctions in the~Blume--Capel model of DNA
p. 439-447
Using methods of classical and quantum physics in bioenergy
p. 448-452