International Workshop
Nonlinear Physics: Theory and Experiment. IV
Hotel 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   Ablowitz M. Solitary waves in nonlinear optics and fluid dynamics
11:10-11:40   Biondini G. Initial-boundary value problems for discrete linear and nonlinear Schroedinger equations
11:40-12:10   Lupo G. A Chauchy problem in nonlinear heat conduction
12:10-12:40   Prinari B. Inverse Scattering Transform for vector defocusing Nonlinear Schroedinger equation with nonvanishing boundary conditions

Chairperson: P. Winternitz

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


Saturday June 24

Chairperson: A. Fokas

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

Chairperson: F. Pempinelli

16:00-16:30   Conte R. Reduction of the resonant three-wave interaction to the sixth Painleve' 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

Sunday June 25


Chairperson: F. Calogero

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

Monday June 26


Chairperson: V. Zakharov

16:00-16:30   Boiti M. Extended resolvent of the nonstationary Schroedinger operator for a Darboux transformed potential
16:30-17:00   Pogrebkov A. Scattering transform for the nonstationary Schroedinger 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




Tuesday June 27

Chairperson: C. Rogers

8:30-9:00   Trubatch D. Recurrence in KdV?
9:00-9:30   Ilan B. Two-dimensional solitons in irregular lattices
9:30-10:00   Bakirtas I. Wave collapse in nonlocal nonlinear Schroedinger 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


Chairperson: B. Prinari

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


Wednesday June 28

Chairperson: B. Konopelchenko

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


Chairperson: S. De Lillo

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


Poster session


Thursday June 29

Chairperson: R. Conte

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


Chairperson: C. Weiss

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: A. Pogrebkov

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

Chairperson: M. Ablowitz

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 Schroedinger equation
18:30-19:00   Kruskal M. Surreal Numbers



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
Kiselev A. Algebraic properties of Gardners's deformations for integrable systems
Kundu A. Integrable nonlinearity generated only from Linear dispersion
Maiolo T.

Entanglement of electrons in interacting molecules

Ortix C. Anomalous dimensions of N=4 super Yang-Mills from the Hubbard model
Palese M. Towers with infinite-dimensional skeletons and prolongation structures
Ruggeri G. Quantum Gaussian Memory Channels
Sommacal M. The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces
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