Geodesic

Sommaire du Fascicule no. 1

Errata
Essential spectrum of the Laplacian for the Neumann problem in a~model region of complicated structure
p. 3-19
Eigenvalues of the Dirac operator in the continuous spectrum
p. 20-26
Curved asymptotic solitons of the Kadomtsev--Petviashvili equation
p. 27-35
Exact solutions of the Yang--Mills equations with the source composed of two colored charges
p. 36-53
Classical dynamics of a~system of $n$ color charges
p. 54-74
Generalized Kustaanheimo--Stiefel transformations
p. 75-80
Scattering of charged particles by a~multicenter potential
p. 81-91
Nonlinear surface acoustic wave in anharmonic medium with two-phonon resonance transition
p. 92-102
Limits of applicability of the tight binding approximation
p. 103-120
The equivalence principle
p. 121-140
Semiclassical asymptotics of the eigenfunctions of the Schr\"odinger-Hartree equation. New form of classical self-consistent field
p. 141-154
On the Askey--Wilson $q$-beta integral
p. 155-159

Sommaire du Fascicule no. 2

Nonlinear dynamics in distributed systems
p. 164-171
Space curve evolution, geometric phase and solitons
p. 172-176
Generic solutions for some integrable lattice equations
p. 177-184
Some new methods and results in the theory of ($2+1$)-dimensional integrable equations
p. 185-200
N-soliton-type solutions of the self-dual Yang-Mills equations in $M^4$
p. 201-210
The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin
p. 211-219
On canonical coordinates in soliton hierarchies
p. 220-225
Exact solutions to the partially integrable Eckhaus equation
p. 226-233
Deformations of Calogero--Moser systems and finite Toda chains
p. 234-240
Geometrical properties of the multidimensional nonlinear differential equations and the finsler metrics of phase spaces of dynamical systems
p. 241-249
Non classical symmetries and the Singular Manifold Method: the Burgers equation
p. 250-256
Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants
p. 257-262
Generalized conditional symmetries and exact solutions of non-integrable equations
p. 263-277
Inverse scattering transform for the Hamiltonian version of the Davey--Stewartson~I Equation
p. 278-284
Reconciling local realism and quantum physics: a~critique to Bell
p. 285-291
The generalized Zakharov--Shabat system and the soliton perturbations
p. 292-299
Fast decaying potentials on the finite-gap background and the $\bar \partial$-problem on the Riemann surfaces
p. 300-308
Pseudo soliton in fluidized beds and its perturbed treatment
p. 309-314
Soliton dynamics for near integrable differential-difference equations
p. 315-321
Solvability of the derivative nonlinear Schr\"odinger equation and the massive Thirring model
p. 322-328
Vortex soliton with axial flow
p. 329-336
The Harry Dym equation on the complex plane: inverse spectral transform and exact solutions
p. 337-344
The Hermitian matrix model and homogeneous spaces
p. 345-351

Sommaire du Fascicule no. 3

Completely integrable one-dimensional classical and relativistic time-dependent hamiltonians
p. 355-363
Asymmetrical response of semiconductor lasers in optical systems
p. 364-369
Double singular manifold method for the mKdV equation
p. 370-376
On quantum multi-Hamiltonian systems
p. 377-381
NLS-tupe equations in~2+1 dimensions: New type of solutions and non-isospectral problems
p. 382-389
$q$-Discretization of the two-dimensional Toda equations
p. 390-398
Clipping -- a~new investigation method for PDEs in compact domains
p. 399-405
Nonlinear evolution of directional solidification patterns
p. 406-412
Lattice dark solitons in the linear potential
p. 413-418
Boussinesq--type system of equations in the B\'enard--Marangoni system
p. 419-427
Classical integrable lattice models through quantum group related formalism
p. 428-434
Levi--Civita theory for irrotational water waves in a~one dimensional channel and the complex Korteweg--de~Vries equation
p. 435-440
Two topics of the integrable soliton equation
p. 441-449
Quantization of planar ferromagnets in the Chern--Simons representation
p. 450-461
On topological soliton dynamics in multidimensional ferromagnetic continuum
p. 462-470
Integrable and nonintegrable cases of the Lax equations with a source
p. 471-477
Riccati pseudopotential of AKNS two-family NLPDEs by Painlev\'e analysis
p. 478-486
A~new-type of soliton behavior of the Davey--Stewartson equations in a~plasma system
p. 487-498
$W_{1+\infty }$ symmetries of quantum Calogero system
p. 499-500
Soliton solutions of the Hamiltonian DSI and DSIII equations
p. 501-508
Integrable hierarchies: Painlev\'e indices and compatibility conditions
p. 509-516
Constructing nonlinear integrable equations by direct linearization
p. 517-527
Painlev\'e expansion and exact solution for nonlinear evolution equations
p. 528-536
Discrete symmetries and solitons
p. 537-544
Integrable and near-integrable dynamical systems associated with Bianchi IX metrics
p. 545-551
A connection between the Henon--Heiles system and the Garnier system
p. 552-559