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Symmetry, integrability and geometry: methods and applications
Tome 1 (2005)
Suivant


The Differential Form Method for Finding Symmetries
B. Kent Harrison

Multi-Instantons in Higher Dimensions and Superstring Solitons
Eugene K. Loginov

Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation
Marcos Moshinsky ; Emerson Sadurní

A System of $n=3$ Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
Manuel F. Rañada

Andrew Lenard: A Mystery Unraveled
Jeffery Praught ; Roman G. Smirnov

Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
O. I. Morozov

Exact Solutions and Symmetry Operators for the Nonlocal Gross–Pitaevskii Equation with Quadratic Potential
Alexander Shapovalov ; Andrey Trifonov ; Alexander Lisok

Spectra of Observables in the $q$-Oscillator and $q$-Analogue of the Fourier Transform
Anatoliy U. Klimyk

Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
Renat Zhdanov ; Victor Lahno

A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice
Pantelis A. Damianou ; Franco Magri

Connections Between Symmetries and Conservation Laws
George Bluman

Radiation Reaction, Renormalization and Poincaré Symmetry
Yurij Yaremko

Simple Derivation of Quasinormal Modes for Arbitrary Spins
Iosif Khriplovich ; Gennady Ruban

On Chaotic Dynamics in Rational Polygonal Billiards
Valery Kokshenev

Second Order Superintegrable Systems in Three Dimensions
Willard Miller

Representations of the Quantum Algebra $\mathrm{su}_q(1,1)$ and Discrete $q$-Ultraspherical Polynomials
Valentyna Groza

Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
George Yu. Bogoslovsky

Ermakov's Superintegrable Toy and Nonlocal Symmetries
P. G. L. Leach ; A. Karasu (Kalkanli) ; M. C. Nucci ; K. Andriopoulos

Transverse Evolution Operator for the Gross–Pitaevskii Equation in Semiclassical Approximation
Alexey Borisov ; Alexander Shapovalov ; Andrey Trifonov

Exact Propagators for Soliton Potentials
Andrey M. Pupasov ; Boris F. Samsonov

Pachner Move $3\to 3$ and Affine Volume-Preserving Geometry in $\mathbb R^3$
Igor G. Korepanov

Noether Symmetries and Critical Exponents
Yuri Bozhkov

Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
Ismagil T. Habibullin

Symmetry Properties of Autonomous Integrating Factors
Sibusiso Moyo ; P. G. L. Leach

Compact Simple Lie Groups and Their $C$-, $S$-, and $E$-Transforms
Jiri Patera

Conservation Laws of Discrete Korteweg–de Vries Equation
Olexandr G. Rasin ; Peter E. Hydon

Integrable Anisotropic Evolution Equations on a Sphere
Anatoly G. Meshkov ; Maxim Ju. Balakhnev

Representations of $U(2\infty)$ and the Value of the Fine Structure Constant
William H. Klink
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