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2006, том 2  


Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces
Oksana Ye. Hentosh
001
On the Effective Action of Dressed Mean Fields for $\mathcal N=4$ Super-Yang–Mills Theory
Gorazd Cvetic, Igor Kondrashuk, Ivan Schmidt
002
Heat Kernel Measure on Central Extension of Current Groups in any Dimension
Rémi Léandre
003
On Linearizing Systems of Diffusion Equations
Christodoulos Sophocleous, Ron J. Wiltshire
004
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
Andrei K. Svinin
005
Orbit Functions
Anatoliy Klimyk, Jiri Patera
006
On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions
Vladimir Vasilchuk
007
Status Report on the Instanton Counting
Sergey Shadchin
008
On Action Invariance under Linear Spinor-Vector Supersymmetry
Kazunari Shima, Motomu Tsuda
009
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
Francisco José Herranz, Ángel Ballesteros
010
Order Parameters in XXZ-Type Spin $\frac12$ Quantum Models with Gibbsian Ground States
Wolodymyr Skripnik
011
On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$
Igor V. Komarov, Andrey V. Tsiganov
012
Operator Gauge Symmetry in QED
Siamak Khademi, Sadollah Nasiri
013
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Faruk Güngör
014
Auger Spectra and Different Ionic Charges Following $3s$, $3p$ and $3d$ Sub-Shells Photoionization of Kr Atoms
Yehia A. Lotfy, Adel M. El-Shemi
015
Extended Soliton Solutions in an Effective Action for $\mathrm{SU}(2)$ Yang–Mills Theory
Nobuyuki Sawado, Noriko Shiiki, Shingo Tanaka
016
Applications of Symmetry Methods to the Theory of Plasma Physics
Giampaolo Cicogna, Francesco Ceccherini, Francesco Pegoraro
017
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Asao Arai
018
Eigenvectors of Open Bazhanov–Stroganov Quantum Chain
Nikolai Iorgov
019
Duality-Symmetric Approach to General Relativity and Supergravity
Alexei J. Nurmagambetov
020
On the Degenerate Multiplicity of the $\mathrm{sl}_2$ Loop Algebra for the 6V Transfer Matrix at Roots of Unity
Tetsuo Deguchi
021
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
Vladimir S. Gerdjikov, Georgi G. Grahovski
022
A Banach Principle for Semifinite von Neumann Algebras
Vladimir Chilin, Semyon Litvinov
023
On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
Grigorii Zhislin
024
Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells
Andrey A. Chernyuk, Volodymyr I. Sudakov
025
Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with $U_{\mathrm{A}}(1)$ Breaking
Brigitte Hiller, Alexander A. Osipov, Véronique Bernard, Alex H. Blin
026
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
M. Bienert, J. Flores, S. Yu. Kun, T. H. Seligman
027
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
Rutwig Campoamor-Stursberg
028
Large-$j$ Expansion Method for Two-Body Dirac Equation
A. Duviryak
029
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
Arthemy V. Kiselev, Thomas Wolf
030
$q$-Deformed Bi-Local Fields II
Haruki Toyoda, Shigefumi Naka
031
Localized Induction Equation for Stretched Vortex Filament
Kimiaki Konno, Hiroshi Kakuhata
032
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of $\mathrm{SO}(d)$-Finite Functions
Agata Bezubik, Aleksander Strasburger
033
On Orthogonality Relations for Dual Discrete $q$-Ultraspherical Polynomials
Valentyna A. Groza, Ivan I. Kachuryk
034
Calogero Model(s) and Deformed Oscillators
Marijan Mileković, Stjepan Meljanac, Andjelo Samsarov
035
Poisson–Lie Odd Bracket on Grassmann Algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
036
Regular and Chaotic Regimes in Scalar Field Cosmology
Alexey V. Toporensky
037
On the Generalized Maxwell–Bloch Equations
Pavle Saksida
038
Combined Reduced-Rank Transform
Anatoli Torokhti, Phil Howlett
039
Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter
Svetlana Kordyukova
040
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell–Abel Equation
Vladimir P. Burskii, Alexei S. Zhedanov
041
On Transitive Systems of Subspaces in a Hilbert Space
Yuliya P. Moskaleva, Yurii S. Samoilenko
042
Quasigraded Lie Algebras and Modified Toda Field Equations
Taras V. Skrypnyk
043
Hamiltonian Flows of Curves in $G/SO(N)$ and Vector Soliton Equations of mKdV and Sine-Gordon Type
Stephen C. Anco
044
Electroweak Interaction Model with an Undegenerate Double Symmetry
Leonid M. Slad
045
Scale-Dependent Functions, Stochastic Quantization and Renormalization
Mikhail V. Altaisky
046
Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems
Oksana V. Charkina, Mikhail M. Bogdan
047
On Deformations and Contractions of Lie Algebras
Alice Fialowski, Marc de Montigny
048
On One Approach to Investigation of Mechanical Systems
Valentin D. Irtegov, Tatyana N. Titorenko
049
Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
Benedetto Militello, Paolo Aniello, Antonino Messina
050
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin
051
Consequences of Symmetries on the Analysis and Construction of Turbulence Models
Dina Razafindralandy, Aziz Hamdouni
052
On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
Tatiana V. Ryabukha
053
Geodesic Flow and Two (Super) Component Analog of the Camassa–Holm Equation
Partha Guha, Peter J. Olver
054
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
Natasha D. Popova, Yurii S. Samoilenko
055
Extension of the Poincaré Symmetry and Its Field Theoretical Implementation
Adrian Tanasa
056
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
Kanehisa Takasaki
057
A Dual Mesh Method for a Non-Local Thermistor Problem
Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
058
Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms
Yuri N. Kosovtsov
059
$q$-Deformed KP Hierarchy and $q$-Deformed Constrained KP Hierarchy
Jingsong He, Yinghua Li, Yi Cheng
060
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko
061
Quantum Potential and Symmetries in Extended Phase Space
Sadollah Nasiri
062
The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients
Tadashi Kobayashi, Kouichi Toda
063
On a “Mysterious” Case of a Quadratic Hamiltonian
Sergei Sakovich
064
On the Linearization of Second-Order Differential and Difference Equations
Vladimir Dorodnitsyn
065
Quantum Entanglement and Projective Ring Geometry
Michel Planat, Metod Saniga, Maurice R. Kibler
066
The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections
Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam
067
Painlevé Analysis and Similarity Reductions for the Magma Equation
Shirley E.  Harris, Peter A. Clarkson
068
Integrable Models of Interaction of Matter with Radiation
Vladimir I. Inozemtsev, Natalia G. Inozemtseva
069
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa–Holm Equation
Henrik Aratyn, Jose Francisco Gomes, Abraham H. Zimerman
070
Generalized Ellipsoidal and Sphero-Conal Harmonics
Hans Volkmer
071
Coupled Modified KP Hierarchy and Its Dispersionless Limit
Takashi Takebe, Lee-Peng Teo
072
Quasi-Exactly Solvable $N$-Body Spin Hamiltonians with Short-Range Interaction Potentials
A. Enciso, F. Finkel, A. González-López, M. A. Rodríguez
073
Combined Analysis of Two- and Three-Particle Correlations in $q,p$-Bose Gas Model
Alexandre M. Gavrilik
074
Prolongation Loop Algebras for a Solitonic System of Equations
Maria A. Agrotis
075
Orthogonality within the Families of $C$-, $S$-, and $E$-Functions of Any Compact Semisimple Lie Group
Robert V. Moody, Jiri Patera
076
The Torsion of Spinor Connections and Related Structures
F. Klinker
077
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
Anjan Kundu
078
$u$-Deformed WZW Model and Its Gauging
Ctirad Klimčík
079
A Formula for the Logarithm of the KZ Associator
Benjamin Enriquez, Fabio Gavarini
080
Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
Marco Panero
081
The Form Factor Program: a Review and New Results – the Nested $\mathrm{SU}(N)$ Off-Shell Bethe Ansatz
Hratchya M. Babujian, Angela Foerster, Michael Karowski
082
Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
Mihai Visinescu
083
$\mathcal R$-Matrix and Baxter $\mathcal Q$-Operators for the Noncompact $\mathrm{SL}(N,\mathbb C)$ Invariant Spin Chain
Sergey É Derkachov, Alexander N. Manashov
084
Multivariable Christoffel–Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices
Hjalmar Rosengren
085
Quantum Gravity as a Broken Symmetry Phase of a BF Theory
Aleksandar Miković
086
Para-Grassmann Variables and Coherent States
Daniel C. Cabra, Enrique F. Moreno, A. Tanasă
087
Solvable Nonlinear Evolution PDEs in Multidimensional Space
Francesco Calogero, Matteo Sommacal
088
Einstein–Riemann Gravity on Deformed Spaces
Julius Wess
089
Non-Commutative Mechanics in Mathematical & in Condensed Matter Physics
Peter A. Horváthy
090
Dynamical $R$ Matrices of Elliptic Quantum Groups and Connection Matrices for the $q$-KZ Equations
Hitoshi Konno
091
$q$-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra
Mark J. Hopkins, Alexander I. Molev
092
On the One Class of Hyperbolic Systems
Vsevolod E. Adler, Alexey B. Shabat
093
Noncommutative Geometry: Fuzzy Spaces, the Groenewold–Moyal Plane
Aiyalam P. Balachandran, Babar Ahmed Qureshi
094
Bethe Ansatz Solutions of the Bose–Hubbard Dimer
Jon Links, Katrina E. Hibberd
095
Restricted Flows and the Soliton Equation with Self-Consistent Sources
Runliang Lin, Haishen Yao, Yunbo Zeng
096
On the Darboux–Nijenhuis Variables for the Open Toda Lattice
Yuriy A. Grigoryev, Andrey V. Tsiganov
097
Invariant Varieties of Periodic Points for the Discrete Euler Top
Satoru Saito, Noriko Saitoh
098
Symmetry, Integrability and Geometry: Methods and Applications
 
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