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PROGRAM


for


THE Third IMACS INTERNATIONAL CONFERENCE ON


NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY


ATHENS, GA


APRIL 7 - 10, 2003




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SUNDAY, APRIL 06, 2003


5:00 - 6:00 pm REGISTRATION

6:00 - 8:00 pm RECEPTION



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MONDAY , APRIL 7, 2003


7:00 - 8:00 am REGISTRATION


8:00 - 8:20 am WELCOME, Masters Hall

Thiab R. Taha/Program Chair and Conference Coordinator

Gordhan Patel/ Vice President for Research

and associate Provost, UGA


8:20 - 9:20 am KEYNOTE LECTURE: Curtis Menyuk, Masters Hall

Title: So, you want to work with engineers?:

Some "do"s and "don't"s for applied mathematicians.


Chair: Mark Ablowitz

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9:20 - 10:20 SESSION 1, Masters Hall

Chair: Nail Akhmediev

Title: Dissipative Solitons


9:20 - 9:50 Speaker: Allan Boardman, P. Egan, M. Xie, L. Velasco

and N. Rosanov

Title: Dissipative Magento-optical Solitons


9:50 - 10:20 Speaker: Allan Boardman, P. Egan, M. Xie, L. Velasco

and N. Rosanov

Title: Dissipative Magento-optical Solitons


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9:20 - 10:20 CONTRIBUTED PAPERS, Room R

Chairs: John Boyd

9:20 - 9:50 Speaker: John P. Boyd

Title: Matched Asymptotic Expansions and Pseudospectral

Methods for Corner and Near-Corner Travelling

Waves of Whitham's Equation


9:50 - 10:20 Speaker: Tobin A. Driscoll

Title: Directed random walks and importance sampling

for noisy optical solitons

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9:20 - 10:20 CONTRIBUTED PAPERS, Room Q

Chairs: Otis Wright


9:20 - 9:50 Speaker: Sarah E. Hewitt and J. Nathan Kutz

Title: Dynamics of the Optical Parametric Oscillator


9:50 - 10:20 Speaker: Edward D. Farnum and J. Nathan Kutz

Title: Spatial Solitons in Quasi-Phase Matched Quadratic

Media


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10:20 - 10:40 COFFEE BREAK

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10:40 - 12:10 SESSION 1, Masters Hall

Chairs: Nail Akhmediev and Carl Weiss

Title: Dissipative Solitons


10:40 - 11:10 Speaker: Ildar Gabitov

Title: Ultra short pulse dynamics on optical fibers

with randomly varying characteristics


11:10 - 11:40 Speaker: Ildar Gabitov

Title: Ultra short pulse dynamics on optical fibers

with randomly varying characteristics


11:40 - 12:10 Speaker: Giovanna Tissoni, Luigi Lugiato

Title: Cavity solitons in semiconductor microresonators

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10:40 - 12:10 SESSION 5, Room R

Chairs: Roy Choudhury, D. J. Kaup and Dmitry Pelinovsky

Title: Stability and Bifurcation of Solitary Wave

Solutions of NLPDEs


10:40 - 11:10 Speaker: William F. Langford

Title: Near-Reversible Hopf Bifurcation


11:10 - 11:40 Speaker: Arnd Scheel

Title: Stability of stationary light transmission in

finite and semi-infinite photonic structures


11:40 - 12:10 Speaker: Robert Pego

Title: Asymptotic stability of solitary waves on lattices


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10:40 - 12:10 SESSION 3, Room Q

Chairs: J. L. Bona, Min Chen, V. Dougalis

Title: Nonlinear Waves in Fluid Mechanics

10:40 - 11:10 Speaker: Jiahong Wu

Title: The Complex KdV Equation


11:10 - 11:40 Speaker:

Title:


11:40 - 12:10 Speaker: Juan-ming Yuan

Title: Studies of recurrence and sigularity formation

in nonlinear dispersive wave equations


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12:10 - 1:20 pm LUNCH

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1:20 - 3:20 CONTRIBUTED PAPERS, Masters Hall

Chair: M. G. Forest


1:20-1:50 Speaker: Vladimir Zakharov

Title: Self-similar solutions in wave turbulence

1:50-2:20 Speaker: M. G. Forest, K. McLaughlin and Otis Wright

Title: On the exact solution of the geometric optics

approximation of Hirota's nonlinear envelope

equation


2:20 - 2:50 Speaker: Mayumi Ohmiya

Title: Calogero-Sutherland model and isomonodromic

deformation

2:50-3:20 Speaker: Chris J. Smith and Roland Mallier

Title: Oblique Waves on a Stuart Vortex

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1:20 - 3:20 SESSION 11, Room R

Chairs: Z. Musslimani, D.E. Pelinovsky and J. Yang

Title: Continuous and Discrete Spatial Solitons


1:20 - 1:50 Speaker: Nikos Efremidis

Title: Lattice solitons.

1:50 - 2:20 Speaker: D. J. Kaup

Title: Discrete NLS Solitons in an Optical Network.

2:20 - 2:50 Speaker: Boris Malomed

Title: Discrete gap solitons in a diffraction-managed

waveguide array


2:50 - 3:20 Speaker: Joachim Meier

Title: Discrete beam interactions in waveguide arrays.

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1:20 - 3:20 SESSION 8, Room Q

Chairs: P.G. Kevrekidis and K.O. Rasmussen

Title: Nonlinear Waves in Bose-Einstein Condensates


1:20-1:50 Speaker: R. Carretero-Gonzalez

Title: Dynamics of vortex lattices in Bose-Einstein

condensates


1:50-2:20 Speaker: G. Kalosakas

Title: Nonlinear transition in Bose-Einstein condensates


2:20 - 2:50 Speaker: S. Komineas

Title: Vortex Rings in a Cylindrical Bose-Einstein

Condensate


2:50 - 3:20 Speaker: V. V. Konotop

Title: Coherent structures in arrays of Bose-Einstein

condensates induced by modulational instability

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3:20 - 3:45 COFFEE BREAK

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3:45 - 5:45 SESSION 1, Masters Hall

Chair: Nail Akhmediev and Allan Boardman

Title: Dissipative Solitons


3:45 - 4:15 Speaker: U. Peschel, F. Lederer, D. Michaelis, Z. Bakonyi

and G. Onishchukov

Title: Dissipative solitons in communication lines


4:15 - 4:45 Speaker: Jin U. Kang and Do-Hyun Kim

Title: Cascaded Raman soliton generation in polarization

maintaining high power fiber amplifier


4:45 - 5:15 Speaker: Steve Cundiff, J. M. Soto-Crespo and N. Akhmediev

Title: Soliton Dynamics in Modelocked Lasers


5:15 - 5:45 Speaker: Zhijun Qiao

Title: Generalized Shallow Water Equation and its

Solutions

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3:45 - 5:45 SESSION 5, Room R

Chairs: Roy Choudhury, D. J. Kaup and Dmitry Pelinovsky

Title: Stability and Bifurcation of Solitary Wave

Solutions of NLPDEs


3:45 - 4:15 Speaker: Christopher K.R.T. Jones

Title: Criteria for Assessing (In)stability in Hamiltonian

Systems


4:15 - 4:45 Speaker: Dmitry Pelinovsky

Title: Spectral stability of solitary waves in coupled

nonlinear Schrodinger equations

4:45 - 5:15 Speaker: Andrew Comech

Title: Purely nonlinear instability of minimal energy

standing waves


5:15 - 5:45 Speaker: Scipio Cuccagna

Title: Stabilization of solutions to nonlinear Schrodinger

equations


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3:45 - 5:15 SESSION 3(Continued), Room Q

Chairs: J. L. Bona, Min Chen, V. Dougalis

Title: Nonlinear Waves in Fluid Mechanics


3:45 - 4:15 Speaker: G. Iooss

Title: Influence of the essential spectrum for

bifurcations of travelling waves


4:15-4:45 Speaker: Bing-Yu Zhang

Title: On Conditional and Unconditional Well-posedness

of the Cauchy Problem of Nonlinear Evolution

Equations


4:45-5:15 Speaker: Shu-Ming Sun

Title: Damped Korteweg-de Vries Equations in a Quarter

Plane


5:15 - 5:45 Speaker: Hongqiu Chen

Title: Existence of Periodic Traveling-wave Solutions


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TUESDAY, APRIL 08, 2003


8:00 - 9:00 KEYNOTE LECTURE: A. Fokas, Masters Hall

Title: Boundary Value Problems for Integrable Nonlinear

PDE's


Chair: Thiab Taha/Program Chair

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9:00 - 10:00 SESSION 8, Masters Hall

Chairs: P.G. Kevrekidis and K. O. Rasmussen

Title: Nonlinear Waves in Bose-Einstein Condensates


9:00 - 9:30 Speaker: B. Malomed

Title: Semiclassical approximation for the Bose-Einstein

condensates trapped in an optical potential

9:30 - 10:00 Speaker: G. Montesinos

Title: Trapless trapped Bose-Einstein condensates by

control of the scattering length: Matter breathers


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9:00 - 10:00 SESSION 4, Room R

Chairs: John Carter and David Nicholls

Title: Nonlinear three-dimensional surface water waves


9:00 - 9:30 Speaker: Diane Henderson

Title: Experiments on three-dimensional deep water waves


9:30 - 10:00 Speaker: Jerry Bona

Title: Long wave approximations for water waves


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9:00 - 10:00 TUTORIAL, Room Q

Gino Biondini and William L. Kath

Title: An Introduction to Optical Fiber Communications(1)


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10:00 - 10:20 COFFEE BREAK

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10:20 - 12:20 SESSION 1, Masters Hall

Chair: Nail Akhmediev and Jin Kang

Title: Dissipative Solitons


10:20 - 10:50 Speaker: Vladimir Konotop

Title: On adiabatic dynamics of cnoidal waves in

perturbed NLS


10:50 - 11:20 Speaker: Roy Choudhury, D. J. Kaup and N. Akhmediev

Title: Bifurcations and Competing Coherent Structures

in Optics Systems


10:20 - 11:50 Speaker: Leblond Herve, Mohamed Salhi, Ammar Hideur,

Thierry Chartier and Francois Sanchez

Title: Modelling of the passively mode-locked ring fiber

laser


11:50 - 12:20 Speaker: Wieslaw Krolikowski, Ole Bang, John Wyller

and Jens Juul Rasmussen

Title: Nonlocal solitons


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10:20 - 12:20 SESSION 4(continued), Room R

Chairs: John Carter and David Nicholls

Title: Nonlinear three-dimensional surface water waves


10:20 - 10:50 Speaker: Philippe Guyenne

Title: Computations of 3D overturning waves in shallow

water


10:50 - 11:20 Speaker: Paul Milewski

Title: Two-dimensional Free-surface Solitary Water Waves


11:20 - 11:50 Speaker: Dave Nicholls

Title: Stability of Hexagonal Traveling Water Waves


11:50 - 12:20 Speaker: Harvey Segur

Title: Stabilizing the Benjamin-Feir Instability

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10:20 - 12:20 TUTORIAL (Continued), Room Q


Gino Biondini and William L. Kath


Title: An Introduction to Optical Fiber Communications(2)


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12:20 - 1:20 pm LUNCH

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1:20 - 3:20 SESSION 11 , Masters Hall

Chairs: Z. Musslimani, D.E. Pelinovsky and J. Yang

Title: Continuous and Discrete Spatial Solitons


1:20 - 1:50 Speaker: Andrey Sukhorukov

Title: Spatial gap solitons in dynamically induced and

engineered waveguide arrays


1:50 - 2:20 Speaker: Boaz Ilan

Title: Self-focusing and multiple filamentation of

circularly polarized beams


2:20 - 2:50 Speaker: Frank Wise

Title: Generation of Spatiotemporal Solitons in

Quadratic Media

2:50 - 3:20 Speaker: Jianke Yang

Title: Stable vortex and dipole vector solitons in a

saturable nonlinear mediu.

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1:20 - 3:20 SESSION 9, Room R

Chairs: Brenton LeMesurier and Constance Schober

Title: Numerical Methods and Results for Nonlinear Wave

Equations


1:20 - 1:50 Speaker: D. A. Karpeev and C. M. Schober

Title: Finite Element Methods in Discrete Variational

Calculus and Multisymplectic PDE Discretizations


1:50 - 2:20 Speaker: Brenton leMesurier

Title: Regularization and control of self-focusing in the

2D nonlinear Schrodinger equation by attractive

potentials


2:20 - 2:50 Speaker: C. M. Schober and A. L. Islas

Title: Multisymplectic PDE Integrators


2:50 - 3:20 Speaker: Clayton Webster

Title: Numerical Modelling of Waveguide Interface


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1:20 - 3:20 SESSION 3, Room Q

Chairs: J. L. Bona, Min Chen, V. Dougalis

Title: Nonlinear Waves in Fluid Mechanics


1:20 - 1:50 Speaker: Robert Pego

Title: Spectral stability of encapsulated vortices for

focusing-defocusing nonlinear Schrodinger equations


1:50 - 2:20 Speaker: Bernard Deconinck

Title: Nonlocality and the Nonlinear Schrodinger

equation with periodic potential


2:20 - 2:50 Speaker: Katherine Socha

Title: Modal Analysis of the BBM Equation


2:50 - 3:20 Speaker: Min Chen

Title: Differences and Similarities on Various Model

Equations of Water Waves


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3:20 - 3:45 COFFEE BREAK

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3:45 - 5:45 SESSION 5, Master Hall

Chairs: Roy Choudhury, David Kaup and Dmitry Pelinovsky

Title: Stability and Bifurcation of Solitary Wave

Solutions of NLPDEs


3:45 - 4:15 Speaker: Martin Klaus

Title: "On the eigenvalues of Zakharov-Shabat and

Manakov systems


4:15 - 4:45 Speaker: Radu C. Cascaval

Title: Solitons relative to special backgrounds for the

focusing NLS hierarchy


4:45 - 5:15 Speaker: Vassilis M Rothos

Title: Traveling Kinks in discrete sine-Gordon lattices

with an inter-site potential


5:15 - 5:45 Speaker: P.G. Kevrekidis

Title: A Dynamic Renormalization Approach to Blowups:

the NLS Paradigm


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3:45 - 5:45 SESSION 2, Room R

Chairs: Gino Biondini and Brian S. Marks

Title: Topics in Optical Fiber CommunicationS


3:45 - 4:15 Speaker: William L. Kath and Gino Biondini

Title: Importance sampling for noise-induced jitter in

soliton transmission systems

4:15 - 4:45 Speaker: Colin McKinstrie

Title: Modeling phase jitter in soliton communication

systems


4:45 - 5:15 Speaker: Rudy L. Horne and Christopher K. R. T. Jones

Title: Pulse interactions in optical fibers using second

and third-order dispersion management


5:15 - 5:45 Speaker: Tobias Schaefer

Title: A new model for short pulses in optical fibers

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3:45 - 5:45 SESSION 10, Room Q

Chair: Andrei Ludu

Title: Solitons and Nonlinear Patterns on Closed

Surfaces/Curves


3:45-4:15 Speaker: Carlos Wexler

Title: Contour dynamics, waves, and solitons in a two

dimensional electron system


4:15 - 4:45 Speaker: Lazar Friedland

Title: Coherent Pattern Formation in Resonant Multi-Contour

Dynamics


4:45- 5:15 Speaker: Curtis Menyuk

Title: Modeling Noise in Dispersion Managed Soliton

Systems


5:15 - 6:00 Speaker: Joel Fajans

Title: Equilibrium, Stability and 2d Vortex Dynamics

in Pure-Electron Plasmas


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6:30 ****** BANQUET ****** Speaker: Robert Vichnevetsky/President of IMACS

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WEDNESDAY, APRIL 09, 2003


8:00 - 9:00 KEYNOTE LECTURE: C. Sulem, Masters Hall

Title: Asymptotic stability of solitary waves for

nonlinear Schrodinger equations


Chair: Jerry Bona

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9:00 - 10:00 CONTRIBUTED PAPERS, Masters Hall

Chairs: S. Baboolal

9:00 - 9:30 Speaker: N. C. Panoiu, Adrian Schauer, I. V. Mel'nikov,

D. Mihalache, and J. Stewart Aitchison

Title: Optical Soliton Fusion from a Multi-Component Signal

9:30 - 10:00 Speaker: R. Naidoo and S. Baboolal

Title: Adapting two recent high resolution numerical

schemes and boundary conditions to model soliton

propagation in a plasma fluid

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9:00 - 10:00 CONTRIBUTED PAPERS, R

Chair: Andrus Salupere


9:00 - 9:30 Speaker: Andrus Salupere, Olari Ilison, Lauri Ilison,

and Juri Engelbrecht

Title: On Solitons in Microstructured Solids and Granular

Materials

9:30 - 10:00 Speaker: Nghiea V. Nguyen

Title: On $H^n(R)$-Stability of Solitary Waves of KdV

Equation

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9:00 - 10:00 SESSION 2, Room Q

Chairs: Gino Biondini and Brian S. Marks

Title: Topics in Optical Fiber CommunicationS


9:00 - 9:30 Speaker: Mark J. Ablowitz and Andrew Docherty

Title: Incomplete timing shifts in quasi-linear

dispersion-managed optical communication systems


9:30 - 10:00 Speaker: Jamison Moeser

Title: DM soliton-like solutions in fibers with randomly

varying dispersion


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10:00 - 10:20 COFFEE BREAK

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10:20 - 12:20 SESSION 1 , Masters Hall

Chair: Nail Akhmediev and Gregor Kovacic

Title: Dissipative Solitons


10:20 - 10:50 Speaker: Carl Weiss, V. B. Taranenko

Title: Spatial Solitons in Dissipative Nonlinear Resonators


10:50 - 11:20 Speaker: Carl Weiss, V. B. Taranenko

Title: Spatial Solitons in Dissipative Nonlinear Resonators


11:20 - 11:50 Speaker: Alexandre S. Shcherbakov and Mauro Sanchez Sanchez

Title: Regime of Dissipative Solitons in Passively

Mode-Locked Multilayer Semiconductor Laser Structures


11:50 - 12:20 Speaker: Augusto Rodrigues

Title: Soliton interaction in optical-fiber lasers

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10:20 - 12:20 SESSION 7, Room R

Chair: P. M. Jordan and C. Feuillade

Title: Analytical and Computational Approaches to Applied

Propagation Problems


10:20 - 10:50 Speaker: P. Puri

Title: Thermoelastic Waves and Second Sound


10:50 - 11:20 Speaker: P. Puri

Title: Thermoelastic Waves and Second Sound (Cont.)


11:20 - 11:50 Speaker: H. A. Terrill-Vosbein

Title: Evaluating the Effect of Boundary Nonlinearities on

Scattered Acoustic Waves


11:50 - 12:20 Speaker: J. K. Fulford

Title: Effects of Dispersive Porous Media Flow on Biot

Model Predictions


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10:20 - 12:20 SESSION 3, Room Q

Chairs: J. L. Bona, Min Chen, V. Dougalis

Title: Nonlinear Waves in Fluid Mechanics

10:20 - 10:50 Speaker: Vassilios Dougalis

Title: A computational study of stability of solitary

waves for some Boussinesq systems


10:50 - 11:20 Speaker: Mark Groves

Title: Three-dimensional solitary gravity-capillary water

waves


11:20 - 11:50 Speaker: Henrik Kalisch

Title: Hamiltonian Long-Wave Expansions for Free

Surfaces and Interfaces


11:50 - 12:20 Speaker: Lionel Paumond

Title: On links between some asymptotic models



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12:20 - 1:20 pm LUNCH

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1:20 - 3:20 SESSION 5, Masters Hall

Chairs: Roy Choudhury, D. J. Kaup and Dmitry Pelinovsky

Title: Stability and Bifurcation of Solitary Wave

Solutions of NLPDEs


1:20 - 1:50 Speaker: N. F. Smyth

Title: Raman Induced Destabilisation of Asymmetric Coupled

Solitary Waves in Nonlinear Twin-Core Fibres


1:50 - 2:20 Speaker: Vadim Zharnitsky

Title: Coupled Ginzburg-Landau equations and Raman

amplification


2:20 - 2:50 Speaker: Jianke Yang

Title: Continuous families of embedded solitons in the

third-order nonlinear Schrodinger equation


2:50 - 3:20 Speaker: Vladimir Varlamov

Title: Stability and Long-time Behavior for 3D Damped

Boussinesq Equation


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1:20 - 3:20 SESSION 6, R

Chair: P. M. Jordan, S. A. Chin-Bing

Title: Solitons: Applied and Theoretical Studies


1:20 - 1:50 Speaker: R. E. Mickens

Title: Analysis of a Nonstandard Finite Difference Scheme

for the Korteweg-de-Vries Equation


1:50 - 2:20 Speaker: W. J. Sonnier

Title: Numerical Investigation of Solitons in

Coupled Systems of Schroedinger Equations


2:20 - 2:50 Speaker: S. A. Chin-Bing

Title: The Effects On Ocean Acoustic Propagation Caused

By Near-Surface and Near-Bottom Solitary Internal


2:50 - 3:20 Speaker: M. Christou

Title: Fourier-Galerkin Method for Interacting Localized

Waves


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1:20 - 3:20 SESSION 10, Room Q

Chair: Andrei Ludu

Title: Solitons and Nonlinear Patterns on Closed

Surfaces/Curves


1:20 - 1:50 Speaker: S. Roy Choudhury

Title: Integrability Characteristics and Coherent

Structures of Integrable Two-Dimensional

generalizations of NLS Type Equations


1:50 -2:20 Speaker: Boris Malomed

Title: Interaction of a Soliton with a Local Defect

in a Fiber Bragg Grating


2:20 - 2:50 Speaker: Panayotis Panayotaros

Title: Birkhoff normal forms for the periodic DMNLS


2:50 - 3:20 Speaker: Bedros B. Afeyan, A. Kanaev, K. Won

Title: Filamentation in (2+1) D Spatially Nonuniform

Media: Plasmas near the Turning Point of the

Incident Laser and Semiconductor Optical Amplifiers

and Lasers with 2D Distributed Feedback Structures


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3:20 - 3:45 COFFEE BREAK

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3:45 - 5:45 SESSION 12, Masters Hall

Chairs: Jens Juul Rasmussen

Title: Self-focusing of light pulses, and collapse

dynamics in Bose-Einstein Condensates

3:45 - 4:15 Speaker: Luc Berge

Title: Self-focusing and collapse dynamics


4:15 - 4:45 Speaker: Miroslav Kolesik

Title: Dynamics of femtosecond light pulses in gases and

condensed media


4:45 - 5:15 Speaker: Masahito Ueda

Title: Coherent nonlinear dynamics of collapsing

Bose-Einstein condensates


5:15 - 5:45 Speaker: Pavel M. Lushnikov

Title: Collapse of Bose-Einstein condensate with

dipole-dipole interactions

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3:45 - 5:45 SESSION 1, Room R

Chairs: Nail Akhmediev and Vladimir Konotop

Title: Dissipative Solitons

3:45 - 4:15 Speaker: Len Pismen

Title: Weakly dissipative spiral waves


4:15 - 4:45 Speaker: Len Pismen

Title: Weakly dissipative spiral waves


4:45 - 5:15 Speaker: Alexander Golovin

Title: Spiral waves in unstable flames


5:15 - 5:45 Speaker: Arnd Scheel

Title: Defects in oscillatory media - towards a

classification"


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3:45 - 5:45 SESSION 11, Room Q

Chairs: Z. Musslimani, D.E. Pelinovsky and J. Yang

Title: Continuous and Discrete Spatial Solitons

3:15 - 3:45 Speaker: Taras Lakoba

Title: Using phase modulation to suppress ghost pulses

in high-speed optical transmission


3:45 - 4:15 Speaker: Roy Choudhury

Title: Painlev'e Analysis of Multicomponent

Systems - An Algorithmic Method


4:15 - 4:45 Speaker: M.J. Ablowitz, B. Prinari, A.D. Trubatch

Title: On the IST for discrete nonlinear Schrodinger

systems and polarization shift for discrete

vector solitons


4:45 - 5:45 Speaker: Andrey Sukhorukov and Nail Akhmediev

Title: Exact results for lossless planar soliton

X-junctions with variable transmission

coefficients

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THURSDAY, APRIL 10, 2003

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8:00 - 10:00 SESSION 1, Masters Hall

Chair: Nail Akhmediev and Ildar Gabitov

Title: Dissipative Solitons

8:00 - 8:30 Speaker: Hidetsugu Sakaguchi

Title: Bifurcations of pulse solutions in some complex

Ginzburg-Landau type equations


XXX 8:30 - 9:00 Speaker: Jianke Yang

Title: Hopf bifurcation of solitons in weakly dissipitive

systems


9:00 - 09:30 Speaker: A. S. Naumov, N. N. Rosanov

Title: New regimes of soliton-like structures in a

reaction-diffusion system


9:30 - 10:00 Speaker: Dingyuan Tang, B. Zhao, P. Shum, C. Lu,

W. S. Man and H. Y. Tam

Title: Evidence of muti-hump temporal solitons in

passively mode locked fiber lasers


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8:00 - 10:00 SESSION 11, R

Chairs: Z. Musslimani, D.E. Pelinovsky and J. Yang

Title: Continuous and Discrete Spatial Solitons

8:00 - 8:30 Speaker: Alina Chertock

Title: Particle methods for dispersive equations

8:30 - 09:00 Speaker: Alexander Kurganov

Title: Formation of Discontinuities in Flux-Saturated

Degenerate Parabolic Equations: Theory and Numerics

9:00 - 9:30 Speaker: Matt Pearce and Alan R. Champneys

Title: Embedded Solitons in a Three-Wave System


9:30 - 10:0 Speaker: Thiab Taha and Xiangming Xu

Title: Parallel Numerical simulation of Nonlinear Type

Equations


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8:00 - 10:00 SESSION 10, Room Q

Chair: Panayotaros

Title: Solitons and Nonlinear Patterns on Closed

Surfaces/Curves


8:00 - 8:30 Speaker: A. Ludu(session)

Title: Solitons and Antisolitons on Compact Surfaces:

Coexistence and Transition


8:30 - 9:00 Speaker: Robert I. Odom

Title: Surface Wave Solitons on the Solid Earth


9:00 - 9:30 Speaker: Scott H. Hawley

Title: Gravitating Globs of Multiple Scalar Fields


9:30 - 10:00 Speaker: Vladimir Gerdjikov

Title: An Universal Integrable Model for Adiabatic

N-soliton Interactions


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10:00 - 10:20 COFFEE BREAK

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10:20 - 12:20 SESSION 7, Masters Hall

Chair: P. M. Jordan and C. Feuillade

Title: Analytical and Computational Approaches to Applied

Propagation Problems


10:20 - 10:50 Speaker: C. Feuillade

Title: A Computationally Efficient Model for Scattering

from an Isovelocity Wedge


10:20 - 10:50 Speaker: G. V. Norton

Title: Time Domain Modeling of Pulse Propagation in Non-

Isotropic Dispersive Media


11:20 - 11:50 Speaker: P. M. Jordan

Title: On the Propagation of Acoustic Waves in Bubbly

Liquids


11:50 - 12:20 Speaker: Herve Leblond

Title: Solitons of the KdV hierarchy in a ferromagnet


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10:20 - 12:20 SESSION 3 , Room R

Chair: J. L. Bona, Min Chen, V. Dougalis

Title: Nonlinear Waves in Fluid Mechanics


10:20 - 10:50 Speaker: Beatrice Pelloni

Title: Linear and nonlinear water waves in a

bounded domain


10:50 - 11:20 Speaker: Vladimir Varlamov

Title: Special Functions and Traveling Wave Solutions

for Ostrovsky Equation


11:20 - 11:50 Speaker: G. Awanou and Ming-Jun Lai

Title: Spline Approximations of 3D Navier-Stokes Equations


11:50 - 12:20 Speaker: Ali Akbar Jafarpour, Babak Momeni, Sina Khorasani

Mohammad Soltani, Charles M. Reinke, Ali Adibi

Title: A Finite-difference time-domain code for simulation

of $\chi^{(2)}$ and $\chi^{(3)}$ nonlinear

effects in two-dimensional non-homogeneous

optical structures


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10:20 - 12:20 SESSION 1, Room Q

Chair: Nail Akhmediev and Len Pismen

Title: Dissipative Solitons

10:20 - 10:50 Speaker: Gregor Kovacic

Title: The truncated Burgers-Hopf equation as a testbed for

Hamiltonian and statistical mechanics


10:50 - 11:20 Speaker: S. V. Meleshko, J. Tantanuch

Title: Applications of group analysis to delay

differential equations


11:20 - 11:50 Speaker: Nikolay N. Rosanov and Sergey V. Fedorov

Title: Laser solitons


11:50 - 12:20 Speaker: Nikolay N. Rosanov and Sergey V. Fedorov

Title: Laser solitons


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12:20 - 1:20 pm LUNCH

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1:20 - 3:20 CONTRIBUTED PAPERS, Masters Hall

Chair:Bernd Binder


1:20 -1:50 Speaker: Bernd Binder

Title: Two Basic Types of Bosonizing Iterative Coupling

Constant


1:50 - 2:20 Speaker: H. Torres-Silva and M. Zamorano

Title:Elliptically Polarized Solitons in a Chiral Fiber


2:20 - 2:50 Speaker: S. EL Manouni and A. Touzani

Title: Existence Results for some Weighted Nonhomogeneous

Elliptic Syste


2:50 - 3:20 Speaker: Frank Jochmann

Title: Analysis of nonlinear polarization and

magnetization model



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3:45 - 5:45 SESSION 12, Masters Hall

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THE END OF THE PROGRAM

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