ЗМІСТ

Hentosh O.Ye.
Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces

Cvetic G., Kondrashuk I., Schmidt I.
On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory

Léandre R.
Heat Kernel Measure on Central Extension of Current Groups in any Dimension

Sophocleous C., Wiltshire R.G.
On Linearizing Systems of Diffusion Equations

Svinin A.K.
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy

Klimyk A., Patera J.
Orbit Functions

Vasilchuk V.
On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions

Shadchin S.
Status Report on the Instanton Counting

Shima K., Tsuda M.
On Action Invariance under Linear Spinor-Vector Supersymmetry

Herranz F.J., Ballesteros Á
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature

Skrypnik W.
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States

Komarov I.V., Tsiganov A.V.
On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

Khademi S., Nasiri S.
Operator Gauge Symmetry in QED

Güngör F.
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations

Lotfy Y.A, El-Shemi A.M.
Auger Spectra and Different Ionic Charges Following 3s, 3p and 3d Sub-Shells Photoionization of Kr Atoms

Sawado N., Shiiki N., Tanaka S.
Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory

Cicogna G., Ceccherini F., Pegoraro F.
Applications of Symmetry Methods to the Theory of Plasma Physics

Arai A.
Mathematical Analysis of a Generalized Chiral Quark Soliton Model

Iorgov N.
Eigenvectors of Open Bazhanov-Stroganov Quantum Chain

Nurmagambetov A.J.
Duality-Symmetric Approach to General Relativity and Supergravity

Deguchi T.
On the Degenerate Multiplicity of the sl₂ Loop Algebra for the 6V Transfer Matrix at Roots of Unity

Gerdjikov V.S., Grahovski G.G.
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras

Chilin V., Litvinov S.
A Banach Principle for Semifinite von Neumann Algebras

Zhislin G.
On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account

Chernyuk A.A., Sugakov V.I.
Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells

Hiller B., Osipov A.A., Bernard V., Blin A.H.
Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with UA(1) Breaking

Bienert M., Flores J., Kun S.Yu., Seligman T.H.
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border

Campoamor-Stursberg R.
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras

Duviryak A.
Large-j Expansion Method for Two-Body Dirac Equation

Kiselev A.V., Wolf T.
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations

Toyoda H., Naka S.
q-Deformed Bi-Local Fields II

Konno K., Kakuhata H.
Localized Induction Equation for Stretched Vortex Filament

Bezubik A., Strasburger A.
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions

Groza V.A., Kachuryk I.I.
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials

Milekovic M., Meljanac S., Samsarov A.
Calogero Model(s) and Deformed Oscillators

Soroka D.V. Soroka V.A.
Poisson-Lie Odd Bracket on Grassmann Algebra [Стаття відсутня]

Toporensky A.V.
Regular and Chaotic Regimes in Scalar Field Cosmology

Saksida P.
On the Generalized Maxwell-Bloch Equations

Torokhti A., Howlett P.
Combined Reduced-Rank Transform

Kordyukova S.
Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter

Burskii V.P., Zhedanov A.S.
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation

Moskaleva Y.P., Samoilenko Y.S.
On Transitive Systems of Subspaces in a Hilbert Space

Skrypnyk T.V.
Quasigraded Lie Algebras and Modified Toda Field Equations

Anco S.C.
Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type

Slad L.M.
Electroweak Interaction Model with an Undegenerate Double Symmetry

Altaisky M.V.
Scale-Dependent Functions, Stochastic Quantization and Renormalization

Charkina O.V., Bogdan M.M.
Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems

Fialowski A., Marc de Montigny
On Deformations and Contractions of Lie Algebras

Irtegov V.D., Titorenko T.N.
On One Approach to Investigation of Mechanical Systems

Militello B., Aniello P., Messina A.
Perturbative Treatment of the Evolution Operator Associated with Raman Couplings

Gerdt V.P., Blinkov Y.A., Mozzhilkin V.V.
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

Razafindralandy D., Hamdouni A.
Consequences of Symmetries on the Analysis and Construction of Turbulence Models

Ryabukha T.V.
On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System

Guha P., Olver P.J.
Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation

Popova N.D., Samoilenko Y.S.
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles

Tanasa A.
Extension of the Poincaré Symmetry and Its Field Theoretical Implementation

Takasaki K.
Dispersionless Hirota Equations of Two-Component BKP Hierarchy

Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi, Delfim F.M. Torres
A Dual Mesh Method for a Non-Local Thermistor Problem

Kosovtsov Y.N.
Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms

He Jingsong, Li Yinghua, Cheng Yi
q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy

Vladimirov V.A., Kutafina E.V., Pudelko A.
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology

Nasiri S.
Quantum Potential and Symmetries in Extended Phase Space

Kobayashi T., Toda K.
The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients

Sakovich S.
On a 'Mysterious' Case of a Quadratic Hamiltonian

Dorodnitsyn V.
On the Linearization of Second-Order Differential and Difference Equations

Planat M., Saniga M., Kibler M.R.
Quantum Entanglement and Projective Ring Geometry

Esrafilian E., Salimi Moghaddam R.H.
The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections

Harris S.E., Clarkson P.A.
Painlevé Analysis and Similarity Reductions for the Magma Equation

Inozemtsev V.I., Inozemtseva N.G.
Integrable Models of Interaction of Matter with Radiation

Aratyn H., Gomes J.F., Zimerman A.H.
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation

Volkmer H.
Generalized Ellipsoidal and Sphero-Conal Harmonics

Takebe T., Teo Lee-Peng
Coupled Modified KP Hierarchy and Its Dispersionless Limit

Enciso A., Finkel F., González-López A., Rodríguez M.A.
Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials

Gavrilik A.M.
Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model

Agrotis M.A.
Prolongation Loop Algebras for a Solitonic System of Equations

Moody R.V., Patera J.
Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group

Klinker F.
The torsion of spinor connections and related structure

Kundu A.
Integrable hierarchy of higher nonlinear Schrödinger type equations

Klimčík C.
u-Deformed WZW model and its gauging

Enriquez B., Gavarini F.
A formula for the logarithm of the KZ associator

Panero M.
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere

Babujian H.M., Foerster A., Karowski M.
The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz

Visinescu M.
Fermion on curved spaces, symmetries, and quantum anomalies

Derkachov S.É., Manashov A.N.
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain

Rosengren H.
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices

Miković A.
Quantum gravity as a broken symmetry phase of a BF theory

Cabra D.C., Moreno E.F., Tanasă A.
Para-Grassmann variables and coherent states

Calogero F., Sommacal M.
Solvable nonlinear evolution PDEs in multidimensional space

Wess J.
Einstein-Riemann gravity on deformed spaces

Horváthy P.A.
Non-commutative mechanics in mathematical & in condensed matter physics

Konno H.
Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations

Hopkins M.J., Molev A.I.
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra

Adler V.E., Shabat A.B.
On the one class of hyperbolic systems

Balachandran A.P., Qureshi B.A.
Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane

Links J., Hibberd K.E.
Bethe ansatz solutions of the Bose-Hubbard dimer

Runliang Lin, Haishen Yao, Yunbo Zeng
Restricted flows and the soliton equation with self-consistent sources

Grigoryev Y.A., Tsiganov A.V.
On the Darboux-Nijenhuis variables for the open Toda lattice

Saito S., Saitoh N.
Invariant varieties of periodic points for the discrete Euler top