Geodesic

Sommaire du Fascicule no. 1

Free oscillator realization of Laguerre polynomials
p. 3-10
The general fifth-order nonlinear Schr\"{o}dinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions
p. 11-37
Inverse scattering transform for a nonlocal derivative nonlinear Schr\"odinger equation
p. 38-53
Relaxing solitons of a biaxial ferromagnet
p. 54-79
Dynamics of kink-soliton solutions of the~$(2+1)$-dimensional
p. 80-98
On the~integrability of a four-component super system
p. 99-114
Dynamics of the 3D magnetic structures for the Heisenberg model
p. 115-127
Functional integrals and phase stability properties in the~$O(N)$ vector field condensation model
p. 128-139
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the~pseudo-Jacobi oscillator in a~homogeneous gravitational field
p. 140-155
Periodic Gibbs measures for the~Potts model in translation-invariant and periodic external fields on the~Cayley tree
p. 156-176

Sommaire du Fascicule no. 2

Diagonal reduction algebra for~$\mathfrak{osp}(1|2)$
p. 179-198
B\"{a}cklund transformation and applications for the~Vakhnenko equation
p. 199-212
Multisoliton and rational solutions for the~extended fifth-order KdV equation in fluids with self-consistent sources
p. 213-228
The~multi-time propagators and the~consistency condition
p. 229-249
Vertex electrical model: Lagrangian and nonnegativity properties
p. 250-258
Split Casimir operator and solutions of the~Yang--Baxter equation for the~$osp(M|N)$ and $s\ell(M|N)$ Lie superalgebras, higher Casimir operators, and the~Vogel parameters
p. 259-301
On periodic Gibbs measures of the~Ising model corresponding to new subgroups of the~group representation of a~Cayley tree
p. 302-316
On the~nonclassicality in quantum JT gravity
p. 317-328

Sommaire du Fascicule no. 3

Riemann--Hilbert approach and $N$-soliton solutions of the~generalized mixed nonlinear Schr\"odinger equation
p. 331-349
Discrete second-order Ablowitz--Kaup--Newell--Segur equation and its modified form
p. 350-374
Integration of the~differential--difference sine-Gordon equation with a~self-consistent source
p. 375-386
On the~Riemann--Hilbert problem of the~matrix Lakshmanan--Porsezian--Daniel system with a~$4\times4$ AKNS-type matrix Lax pair
p. 387-404
Integrable super extensions of $K(-2,-2)$ equation
p. 405-415
Anisotropic solution of the~holographic model of light quarks with an external magnetic field
p. 416-421
Uniqueness of the~Pohlmeyer--Lund--Regge system
p. 422-429
Geometric model of the~formation of superdiffusion processes
p. 430-441
Dispersion relation in the~kinetic model of collisionless plasma
p. 442-454
Interaction between subbands in a~quasi-one-dimensional superconductor
p. 455-469
Extremality of translation-invariant Gibbs measures for the~$\lambda$-model on the~binary Cayley tree
p. 470-484
From the~Wigner function to the~$s$-ordered phase-space distribution via a~Gaussian noise channel
p. 485-504