The present collection includes papers by participants of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics, held at Kyiv (Kiev), June 24−30, 2007. It continues the series of meetings started at the Institute of Mathematics of NAS of Ukraine in 1995.
The issue contains 54 papers with the total of 867 pages.
We would like to thank all the conference participants, all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.
September 11, 2008 Anatoly Nikitin
Papers in this Issue:
- Tridiagonal Symmetries of Models of Nonequilibrium Physics
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Boyka Aneva
SIGMA 4 (2008), 056, 16 pages [ abs pdf ps ]
- Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
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E. John Parkes
SIGMA 4 (2008), 053, 17 pages [ abs pdf ps ]
- Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra
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Tom H. Koornwinder
SIGMA 4 (2008), 052, 17 pages [ abs pdf ps ]
- Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
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Askold Duviryak
SIGMA 4 (2008), 048, 19 pages [ abs pdf ps ]
- Hamiltonian Systems Inspired by the Schrödinger Equation
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Vasyl Kovalchuk and Jan Jerzy Slawianowski
SIGMA 4 (2008), 046, 9 pages [ abs pdf ps ]
- Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
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George Yu. Bogoslovsky
SIGMA 4 (2008), 045, 21 pages [ abs pdf ps ]
- Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
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Dieter Schuch
SIGMA 4 (2008), 043, 16 pages [ abs pdf ps ]
- Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
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Victor D. Gershun
SIGMA 4 (2008), 041, 16 pages [ abs pdf ps ]
- Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
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Milena Svobodová
SIGMA 4 (2008), 039, 13 pages [ abs pdf ps ]
- Nonlinear Fokker-Planck Equation in the Model of Asset Returns
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Alexander Shapovalov, Andrey Trifonov and Elena Masalova
SIGMA 4 (2008), 038, 10 pages [ abs pdf ps ]
- Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
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Gloria Marí Beffa
SIGMA 4 (2008), 034, 23 pages [ abs pdf ps ]
- Equivariance, Variational Principles, and the Feynman Integral
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George Svetlichny
SIGMA 4 (2008), 032, 13 pages [ abs pdf ps ]
- Recent Applications of the Theory of Lie Systems in Ermakov Systems
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José F. Cariñena, Javier de Lucas and Manuel F. Rañada
SIGMA 4 (2008), 031, 18 pages [ abs pdf ps ]
- Geodesic Equations on Diffeomorphism Groups
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Cornelia Vizman
SIGMA 4 (2008), 030, 22 pages [ abs pdf ps ]
- Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
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Vladimir S. Gerdjikov and Nikolay A. Kostov
SIGMA 4 (2008), 029, 30 pages [ abs pdf ps ]
- Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
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Piyanuch Siriwat and Sergey V. Meleshko
SIGMA 4 (2008), 027, 19 pages [ abs pdf ps ]
- Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
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Myriam Mondragón and George Zoupanos
SIGMA 4 (2008), 026, 26 pages [ abs pdf ps ]
- Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
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Sergei E. Parkhomenko
SIGMA 4 (2008), 025, 14 pages [ abs pdf ps ]
- Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
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Brigitte Hiller, Alexander A. Osipov, Alex H. Blin and João da Providência
SIGMA 4 (2008), 024, 14 pages [ abs pdf ps ]
- SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
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Kazuki Hasebe
SIGMA 4 (2008), 023, 21 pages [ abs pdf ps ]
- Hidden Symmetries of M-Theory and Its Dynamical Realization
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Alexei J. Nurmagambetov
SIGMA 4 (2008), 022, 18 pages [ abs pdf ps ]
- On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
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Victor M. Red'kov, Andrei A. Bogush and Natalia G. Tokarevskaya
SIGMA 4 (2008), 021, 46 pages [ abs pdf ps ]
- An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
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Richard D. Bourgin and Thierry P. Robart
SIGMA 4 (2008), 020, 10 pages [ abs pdf ps ]
- Single-Pole Interaction of the Particle with the String
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Milovan Vasilic and Marko Vojinovic
SIGMA 4 (2008), 019, 6 pages [ abs pdf ps ]
- The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
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Roman Ya. Matsyuk
SIGMA 4 (2008), 016, 11 pages [ abs pdf ps ]
- Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
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Luc Vinet and Alexei Zhedanov
SIGMA 4 (2008), 015, 22 pages [ abs pdf ps ]
- Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
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Samira Bahrami and Sadolah Nasiri
SIGMA 4 (2008), 014, 7 pages [ abs pdf ps ]
- Towards Unifying Structures in Higher Spin Gauge Symmetry
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Anders K.H. Bengtsson
SIGMA 4 (2008), 013, 23 pages [ abs pdf ps ]
- Preon Model and Family Replicated E6 Unification
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Chitta Ranjan Das and Larisa V. Laperashvili
SIGMA 4 (2008), 012, 15 pages [ abs pdf ps ]
- Classical R-Operators and Integrable Generalizations of Thirring Equations
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Taras V. Skrypnyk
SIGMA 4 (2008), 011, 19 pages [ abs pdf ps ]
- Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
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Alexander I. Komech and Andrew A. Komech
SIGMA 4 (2008), 010, 23 pages [ abs pdf ps ]
- A Unified Model of Phantom Energy and Dark Matter
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Max Chaves and Douglas Singleton
SIGMA 4 (2008), 009, 11 pages [ abs pdf ps ]
- Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
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Ernest G. Kalnins, Willard Miller Jr. and Sarah Post
SIGMA 4 (2008), 008, 21 pages [ abs pdf ps ]
- Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
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Teunis C. Dorlas and Wolodymyr I. Skrypnik
SIGMA 4 (2008), 007, 14 pages [ abs pdf ps ]
- Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
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Volodymyr B. Taranov
SIGMA 4 (2008), 006, 7 pages [ abs pdf ps ]
- Generalized Symmetries of Massless Free Fields on Minkowski Space
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Juha Pohjanpelto and Stephen C. Anco
SIGMA 4 (2008), 004, 17 pages [ abs pdf ps ]
- WKB Approximation in Noncommutative Gravity
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Maja Buric, John Madore and George Zoupanos
SIGMA 3 (2007), 125, 12 pages [ abs pdf ps ]
- Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
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M.A. González León, J. Mateos Guilarte and M. de la Torre Mayado
SIGMA 3 (2007), 124, 24 pages [ abs pdf ps ]
- Integrability and Diffeomorphisms on Target Space
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Christoph Adam, Joaquin Sanchez-Guillen and Andrzej Wereszczynski
SIGMA 3 (2007), 123, 11 pages [ abs pdf ps ]
- Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation
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Ilya D. Feranchuk and Sergey I. Feranchuk
SIGMA 3 (2007), 117, 28 pages [ abs pdf ps ]
- Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
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Maxim S. Borshch and Valery I. Zhdanov
SIGMA 3 (2007), 116, 11 pages [ abs pdf ps ]
- Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle
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Ibrar Hussain, Fazal M. Mahomed and Asghar Qadir
SIGMA 3 (2007), 115, 9 pages [ abs pdf ps ]
- Symmetries and Invariant Differential Pairings
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Michael G. Eastwood
SIGMA 3 (2007), 113, 10 pages [ abs pdf ps ]
- Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
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Alexandre M. Gavrilik and Anastasiya P. Rebesh
SIGMA 3 (2007), 112, 11 pages [ abs pdf ps ]
- Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
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Marcos Moshinsky, Emerson Sadurní and Adolfo del Campo
SIGMA 3 (2007), 110, 12 pages [ abs pdf ps ]
- Geometric Linearization of Ordinary Differential Equations
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Asghar Qadir
SIGMA 3 (2007), 103, 7 pages [ abs pdf ps ]
- From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve
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Salah Boukraa, Saoud Hassani, Jean-Marie Maillard and Nadjah Zenine
SIGMA 3 (2007), 099, 43 pages [ abs pdf ps ]
- Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
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Roman Jackiw
SIGMA 3 (2007), 091, 7 pages [ abs pdf ps ]
- Quantum Information from Graviton-Matter Gas
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Lukasz-Andrzej Glinka
SIGMA 3 (2007), 087, 13 pages [ abs pdf ps ]