Geodesic

Sommaire du Fascicule no. 1

Functional approach to a Gelfand–Tsetlin-type basis for $\mathfrak{o}_5$
p. 3-22
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation
p. 23-36
A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system
p. 37-47
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations
p. 48-64
Quasiperiodic solutions of an extended MKdV hierarchy
p. 65-83
Integration of a defocusing nonlinear Schrödinger equation with additional terms
p. 84-104
Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length
p. 105-120
Quantum adiabatic theorem with energy gap regularization
p. 121-135
A new class of spherically symmetric gravitational collapse
p. 136-146

Sommaire du Fascicule no. 2

Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions
p. 149-180
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method
p. 181-199
Analytic properties of the Green's function for the equation of internal gravitational waves in a stratified medium with shear flows
p. 200-215
Quasiharmonic longitudinal wave propagating in a Mindlin–Herrmann rod in a nonlinearly elastic environment
p. 216-235
Stability of an aneurysm in a membrane tube filled with an ideal fluid
p. 236-248
Internal solitary waves with trapped cores in multilayer shallow water
p. 249-263
Influence of anisotropic rheology on wave processes in sea ice
p. 264-280
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint
p. 281-294
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum
p. 295-305
Strip deformation problem in three models of hydrodynamics
p. 306-318
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations
p. 319-332
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium
p. 333-346
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir
p. 347-357

Sommaire du Fascicule no. 3

A new finite-dimensional Hamiltonian systems with a mixed Poisson structure for the KdV equation
p. 361-374
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits
p. 375-393
Bogoliubov's causal perturbative QED and white noise. Interacting fields
p. 394-443
Complex energies and the Lambert $W$ function
p. 444-454
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the  relativistic configuration representation
p. 455-468
Classification of solutions of the generalized mixed nonlinear Schrödinger equation
p. 469-490
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree
p. 491-501
Einstein–Maxwell equations: Solution-generating methods as “coordinate” transformations in the solution spaces
p. 502-534