International Workshop
Nonlinear Physics: Theory and Experiment. IV
EcoResort Le Sirenè Gallipoli, Lecce (Italy) June 22 - July 1, 2006

Preliminary Program

Thursday June 22 - Registration
Friday June 23

Chairperson: M. Boiti

9:00-9:10   Boiti M. Welcome
9:10-9:40   Fokas A. Imaging of the brain, boundary value problems and Integrability in 4+2 and 3+1
9:40-10:10   De Lillo S. The Spectral Method for Inverse Moving Boundary Problems

coffee break
10:40-11:10   Biondini G. Initial-boundary value problems for discrete linear and nonlinear Schrödinger equations
11:10-11:40   Lupo G. A Chauchy problem in nonlinear heat conduction
11:40-12:10   Prinari B. Inverse Scattering Transform for vector defocusing Nonlinear Schrödinger equation with nonvanishing boundary conditions
12:10-12:40   Trubatch D. Recurrence in KdV?
Lunch

Chairperson:

16:00-16:30   Konopelchenko B. Associative algebras, coisotropic manifolds and dispersionless hierarchies
16:30-17:00   Bogdanov L. On the heavenly equation hierarchy

coffee break
17:30-18:00   Rogers C. On a novel class of nonlinear elastic materials. Soliton connections
18:00-18:30   Grinevich P. Infinitesimal Darboux transformations of the spectral curves of tori in the four-space
18:30-19:00   Abenda S. Closed geodesics and billiards on quadrics related elliptic KdV solutions
19:00-19:30   Muller-Hoissen F. From Gelfand-Dickey-type hierarchies to functional representations
Dinner

Saturday June 24

Chairperson:

8:30-9:00   Calogero F. Isochronous systems and their quantization
9:00-9:30   Khrennikov A. Infinite dimensional Hamilton dynamics and quantum mechanics
9:30-10:00   Leble S. Interacting matter-radiation systems: dressing and quantization in generalized Jaynes-Cummings models

coffee break
10:30-11:00   Magri F. On the art of choosing the right coordinates in a problem of Mechanics
11:00-11:30   Ghosh S. Current Algebra and Non-Linear sigma-Model
11:30-12:00   Kundu A. Yang-Baxter algebra and generation of integrable models
12:00-12:30   Vinogradov A. Solution singularities and the reconstruction problem
Lunch

Chairperson:

16:00-16:30   Conte R. Reduction of the resonant three-wave interaction to the sixth Painlev\'e equation
16:30-17:00   Zarmi Y. Perturbed Evolution Equation and Asymptotic Integrability

coffee break
17:30-18:00   Khusnutdinova K. On two classes of integrable second order quasilinear equations in 3D
18:00-18:30   Lee J-H Solitons of the Resonant Nonlinear Schrodinger Equation with Nontrivial Boundary Condition by the Hirota Method
18:30-19:00   Pashaev O. Galilean Group, Vortex Generation Techniques and Complex Burgers Hierarchy
19:00-19:30      
dinner

Sunday June 25

Excursion
lunch

Chairperson: 

16:00-16:30   Segev M. Nonlinear waves and solitons in photonic quasi-crystals, Anderson localization, etc.
16:30-17:00   Khomeriki R. Coexistence of Josephson oscillations and novel self-trapping regime in optical waveguide arrays

coffee break
17:30-18:00   Weiss C.O. Spatial solitons in nonlinear optical resonators
18:00-18:30   Larionova Ye. Dark solitons in passive and active semiconductor microresonators
18:30-19:00   Boscolo S. On the theory of self-similar parabolic optical pulses
19:00-19:30   Moro A. High frequency integrable regimes in nonlocal nonlinear optics
dinner
 

Monday June 26

Excursion
lunch

Chairperson: 

16:00-16:30   Boiti M. Extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential
16:30-17:00   Pogrebkov A. Scattering transform for the nonstationary Schrödinger operator with a bidimensionally perturbed N-soliton potential

coffee break
17:30-18:00   Estevez P. Algorithmic construction of lumps
18:00-18:30   Matveev V. Cylindrical KP equation revisited
18:30-19:00   Chang J-H On the bi-Hamiltonian structure of waterbag model of dKP
19:00-19:30   Verhoeven C. Spiderweb solutions for the CKP equation

dinner

Uspid

Tuesday June 27

Chairperson:

8:30-9:00   Ablowitz M. Solitary waves in nonlinear optics and fluid dynamics
9:00-9:30   Ilan B. Two-dimensional solitons in irregular lattices
9:30-10:00   Bakirtas I. Wave collapse in nonlocal nonlinear Schrödinger equation

coffee break
10:30-11:00   Caputo J.G. Statics and dynamics of point nonlinear oscillators in a linear cavity
11:00-11:30   Spiller E. Rare events in dispersion-managed nonlinear lightwave systems
11:30-12:00   Pacciani P. Localized solutions of the quintic nonlinear Schrodinger equation with a periodic potential
12:00-12:30   Speight M. Magnetic bubble refraction in inhomogeneous antiferromagnets
Lunch

Chairperson:

16:00-16:30   Choudhury R. Solitary Wave Families of the Ostrovsky Equation: An Approach via Reversible Systems Theory and Normal Forms
16:30-17:00   Mancas S. Spatiotemporal structure of dissipative solitons in the cubic-quintic Ginzburg-Landau equation

coffee break
17:30-18:00   Gerdjikov V. Multicomponent solitons: properties, stability, interactions
18:00-18:30   Grahovski G. An Exactly Solvable Case for a Thin Elastic Rod
18:30-19:00   Atanasov V. The emergence of the Toda chain for the N-kink (breather) train of the Sine-Gordon equation
dinner
Arakne Mediterranea

Wednesday June 28

Chairperson: 

8:30-9:00   Winternitz P. Symmetry preserving discretization of differential equations with applications to computing
9:00-9:30   Rosenhaus V. On infinite conservation laws for systems with infinite symmetries
9:30-10:00   Grundland M. Rank-k solutions described by quasilinear systems of PDEs

coffee break
10:30-11:00   Nucci M.C. Jacobi last multiplier, Lie symmetries, and hidden linearity: what's up
11:00-11:30   Habibullin I. Characteristic algebras and the problem of classification of discrete chains
11:30-12:00   Gandarias M.L. New solutions through weak symmetries of the Schwarzian-Korteweg-de Vries
12:00-12:30   Vilasi G. Spin-1 gravitational waves
Lunch

 

16:00-16:30   Protogenov A. Decomposition of variables and duality in non-Abelian models
16:30-17:00   Martina L. Semiclassical dynamics of wave - packets in generalized mechanics

coffee break
17:30-18:00   Mokhov O. Theory of Submanifolds, Associativity Equations in 2D Topological Quantum Field Theories, and Frobenius Manifolds
18:00-18:30   Tempesta P. Frobenius Manifolds and integrable hierarchies of Toda type
18:30-19:00   Krasil'shchik J. Nonlocal aspects of integrability

dinner
Poster session

Thursday June 29

Chairperson: 

8:30-9:00   Ferapontov E. On integrability of hydrodynamic chains: the Haantjes tensor
9:00-9:30   Pavlov M. New Hamiltonian formalism for hydrodynamic type systems
9:30-10:00   Kalyakin L. Autoresonance phenomenon in magnetic reversal of the weak ferromagnetic

coffee break
10:30-11:00   Friedland L. Emergence and control of multi-phase nonlinear waves by resonant perturbations
11:00-11:30   Kiselev O. Slow passage through resonance for a weakly nonlinear dispersive wave
11:30-12:00   Maslov E. Breather resonant phaselocking by external perturbation
12:00-12:30   Novokshenov V. Autoresonant excitation and control of nonlinear waves in the integrable systems
Lunch

 

16:00-16:30   Kuznetsov E. Vortex line representation
16:30-17:00   Blaszak M. Reciprocal transformations for classical Stackel systems and related dispersionless systems

coffee break
17:30-18:00   Kaup D. The Quantitative Estimation of Variational Approximations
18:00-18:30   Santini P. Vector fields and integrable nonlinear PDEs in multidimensions. Part I.
18:30-19:00   Manakov S. Vector fields and integrable nonlinear PDEs in multidimensions. Part II.

Social dinner

 

Friday June 30

Chairperson:

8:30-9:00   Zakharov V. Spaces of Diagonal Curvature, Spaces of Flat Connection and Problem of N-Orthogonal Coordinate Systems
9:00-9:30   Alekseev G. Integrable reductions of Einstein-Maxwell equations: hierarchies of solutions with rational monodromy data and their applications to a black hole dynamics
9:30-10:00   Dvoeglazov V. Antisymmetric tensor fields and 4-vector fields

coffee break
10:30-11:00   Carrol R. Metric fluctuations, entropy, and the WDW equation
11:00-11:30   Medina E. Classification of Integrable Deformations of Algebraic Curves
11:30-12:00   Harnad J. Correlators of characteristic polynomials in two-matrix models
12:00-12:30   Orlov A. Fermionic tau function and random processes
Lunch

Chairperson:

16:00-16:30   Marmo G. Geometry of Quantum Systems. Density States and Entanglement.
16:30-17:00   Scolarici G. Completely positive quaternionic maps

coffee break
17:30-18:00   Manko M. Uncertainty relations for tomographic entropy of solitons
18:00-18:30   Parwani R. Solutions of an information-theoretic motivated nonlinear Schrodinger equation
18:30-19:00   Kruskal M. Surreal Numbers
19:00-19:30      

Preliminary List of posters

 

Choustova O. Applications of Hamilton-Jakobi dynamics and Bohmian mechanics to description of financial processes
Khusnutdinova K. On a hierarchy of weakly nonlinear models for multi-phase wavetrains and energy exchange in a two-component system
Kundu A. Integrable nonlinearity generated only from Linear dispersion
Maiolo T. A measurement of the degree of entanglement in atoms and molecules
Palese M. Towers with infinite-dimensional skeletons and prolongation structures
Ruggeri G. Quantum Gaussian Memory Channels
Sozzo S. On the physical interpretation of partial traces: two alternative approaches
Vitolo R. On differential equations characterized by their Lie point symmetries
Winterroth E. On the relation between the Hessian and the Jacobi morphisms in gauge-natural field theories