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 Schr\"odinger 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 Schr\"odinger 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