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PROGRAM
for
THE FIFTH IMACS INTERNATIONAL CONFERENCE ON
NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA:
COMPUTATION AND THEORY
ATHENS, GA
APRIL 16 - 19, 2007
SUNDAY, APRIL 15, 2007
5:00 – 6:00 REGISTRATION
6:00 – 8:00 RECEPTION
MONDAY, APRIL 16, 2007
7:00 – 9:00 REGISTRATION
8:00 – 8:20 WELCOME, Masters Hall
Thiab R. Taha/Program Chair and Conference Coordinator
David Lee/Professor, Vice President for Reasearch, UGA
8:20 - 9:20 KEYNOTE LECTURE: Steven Cundiff, Masters Hall
Title: Pulse Dynamics in Mode-Locked Lasers
Chair: Gino Biondini
9:20 - 10:20 SESSION 5, Masters Hall
Chair: John Carter
Title: Stability of Surface Water Waves
9:20 - 09:50 Speaker: John Carter
Title: Stability of plane-wave solutions of a dissipative NLS equation
9:50 - 10:20 Speaker: Dave Nicholls
Title: Spectral Stability of Traveling Water Waves
9:20 - 10:20 SESSION 2, Room R
Chairs: Paul Bennett
Title: Parallel Numerical Algorithms
9:20 - 9:50 Speaker: Paul Bennett
Title: Parallel Numerical Simulations of the Onset of Filamentation
9:50 - 10:20 Speaker: Alexey Sukhinin
Title: Intense light propagation in air
9:20 - 10:20 SESSION 13, Room Q
Chairs: Andrei Ludu
Title: Nonlinear waves and solitons in biomathematics
9:20 - 9:50 Speaker: M. Cristina Depassier
Title: On the speed of pulled fronts with a cutoff
9:50 - 10:20 Speaker: Christian Cibert
Title: Do the emergent properties of the axonemal machinery depend on the degradation of energy?
7
9:20 - 10:20 SESSION 2, Room K
Chairs: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
9:20 - 9:50 Speaker: Denys Dutykh
Title: On the generation of tsunamis by earthquakes
9:50 - 10:20 Speaker: Roy Choudhury
Title: Solitary Wave Families of the Ostrovsky Equation: An Approach via Reversible Systems Theory and
Normal Forms
10:20 - 10:40 COFFEE BREAK
10:40 - 12:10 SESSION 15, Masters Hall
Chairs: Philippe Guyenne and David Nicholls
Title: Numerical Methods for Nonlinear Dispersive Wave Equations
10:40 - 11:10 Speaker: Henrik Kalisch
Title: On the Rate of Convergence of a Spectral Approximation of the KdV Equation
11:10 - 11:40 Speaker: Joy Ko
Title: Computation of steady water waves and their dependence on the vorticity
11:40 - 12:10 Speaker: Jeffrey C. Harris
Title: Development of a boundary element method for a fully nonlinear potential flow model of water waves
10:40 - 12:10 SESSION 11, Room R
Chair: Pedro Jordan
Title: Nonlinear Wave Phenomena in the Physical Sciences: Some Recent Studies
10:40 - 11:10 Speaker: S. A. Chin-Bing
Title: A feed-back algorithm using ocean acoustic modeling to improve shallow water soliton simulations
11:10 - 11:40 Speaker: Richard S. Keiffer
Title: The effects of bimodal directionality, finite wind duration, and swell-cont amination on the frequency
spectrum of acoustic signals backscattered from dynamic ocean surfaces
11:40 - 12:10 Speaker: Pedro Jordan
Title: Some remarks on nonlinear poroacoustic phenomena
10:40 - 12:10 SESSION 12, Room Q
Chair: Philippe Guyenne, Henrik Kalisch and Emilian Parau
Title: Modeling of Internal Waves
10:40 - 11:10 Speaker: Benjamin Akers
Title: Dynamics of Solitary Gravity-Capillary Waves on Infinite Depth
11:10 - 11:40 Speaker: Jarle Berntsen and Jiuxing Xing
Title: Numerical studies of tidally forced internal waves and mixing at a sill
11:40 - 12:10 Speaker: Wooyoung Choi
Title: On regularizing the strongly nonlinear internal wave model
8
10:40 - 12:10 SESSION 2, Room K
Chairs: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
10:40 - 11:10 Speaker: Jerry Bona
Title: Stability of Cnoidal Waves
11:10 - 11:40 Speaker: Hongqiu Chen
Title: Double limits of the BBM-equation
11:40 - 12:10 Speaker: G. A. Athanassoulis
Title: Non-linear water waves in general bathymetry
12:10 - 1:20 LUNCH
1:20 - 3:20 SESSION 3, Masters Hall
Chair: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Miller
Title: Non-Self-Adjoint Spectral Problems
1:20 – 1:50 Speaker: Jaime Angulo
Title: Non-linear Instability of Periodic Traveling Waves for the KdV Equation
1:50 – 2:20 Speaker: Todd Kapitula
Title: On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
2:20 – 2:50 Speaker: Chris Curtis
Title: On the Convergence of Hill’s Method
2:50 – 3:20 Speaker: Panayotis Kevrekidis
o
Title: Existence and Stability of Solutions of Discrete Nonlinear Schr¨ dinger type equations
1:20 – 3:20 SESSION 12, Room R
Chairs: Philippe Guyenne, Henrik Kalisch and Emilian Parau
Title: Modeling of Internal Waves
1:20 – 1:50 Speaker: Jiuxing Xing and Jarle Berntsen
Title: Modelling Internal Waves in the Region of Fjord Sills
1:50 - 2:20 e e
Speaker: Hai Yen Nguyen and Fr´ d´ ric Dias
Title: On the interaction between interfacial waves
2:20 – 2:50 Speaker: Emilian Parau
Title: Computations of 3D waves in a two-layer fluid
2:50 – 3:20 Speaker: Karima Khusnutdinova
Title: The effect of bubble distributions on internal waves
1:20 – 3:20 SESSION 5, Room Q
Chairs: John Carter
Title: Stability of Surface Water Waves
1:20 – 1:50 Speaker: Bernard Deconinck
Title: The determination of spectra of linear operators
1:50 – 2:20 Speaker: Nate Bottman
Title: The explicit analytical determination of the spectral (in)stability of stationary solutions of the one-
dimensional cubic NLS equation
2:20 – 2:50 Speaker: Diane Henderson
Title: Experiments and modeling of deep-water surface waves
2:50 – 3:20 Speaker: Matt Patterson
Title: Towards computing quasi-periodic solutions of integrable systems
9
1:20 – 3:20 SESSION 2, Room K
Chairs: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
1:20 – 1:50 Speaker: Shuming Sun
Title: Spectral Stability of Solitary Waves on Water with Large Surface Tension
1:50 – 2:20 Speaker: Reika Fukuizumi
o
Title: Nonlinear Schr¨ dinger equation with a point defect
2:20 – 2:50 Speaker: Vassilios Dougalis
Title: Theory and numerical analysis of Boussinesq systems in two space dimensions
2:50 – 3:20 Speaker: Olivier Goubet
o
Title: Damped forced nonlinear Schr¨ dinger equations
3:20 – 3:45 COFFEE BREAK
3:45 – 4:45 SESSION 3, Masters Hall
Chairs: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Miller
Title: Non-Self-Adjoint Spectral Problems
3:45 – 4:15 Speaker: Kris Jenssen
Title: Existence and Stability of Spherical Shocks
4:15 – 4:45 Speaker: Zoi Rapti
Title: Counting Defect Eigenvalues via the Evans Function
4:45 – 6:15 SESSION 15, Masters Hall
Chairs: Philippe Guyenne and David Nicholls
Title: Numerical Methods for Nonlinear Dispersive Wave Equations
4:45 – 5:15 Speaker: Marina Chugunova
Title: Numerical Approximations of the Two-Pulse Solutions in the Fifth-Order KdV Equation
5:15 – 5:45 Speaker: Jennifer Gorsky
Title: A Numerical Method for the Zero-Dispersion Limit of a Nonlinear Wave Equation
5:45 – 6:15 Speaker: Mark Taber
Title: Inverse Methods for Determining Ocean Floor Topography from Surface Wave Measurements
3:45 – 6:15 SESSION 11, Room R
Chairs: Pedro Jordan
Title: Nonlinear Wave Phenomena in the Physical Sciences: Some Recent Studies
3:45 – 4:15 Speaker: Swantje Bargmann
Title: Green–Naghdi thermoelasticity: Thermal and mechanical waves without energy dissipation
4:15 – 4:45 Speaker: Ivan Christov
Title: Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform
4:45 – 5:15 Speaker: Guy V. Norton
Title: Comparison of homogeneous and heterogeneous modeling of transient scattering from dispersive media
directly in the time domain
5:15 – 5:45 Speaker: Ronald E. Mickens
Title: Traveling-Wave Solution for a Discrete Burgers Equation
5:45 – 6:15 Speaker: Weizhong Dai and Tianchan Niu
Title: A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin
film exposed to ultrashort-pulsed lasers
10
3:45 – 6:15 SESSION 13, Room Q
Chairs: Andrei Ludu
Title: Nonlinear waves and solitons in biomathematics
3:45 – 4:15 Speaker: Bonsu Osei
Title: Evolutionary Algorithms and Eco-informatics: A myth or reality
4:15 – 4:45 Speaker: Adrian Carstea
Title: Nonlinear proteomic waves in gene regulatory networks
4:45 – 5:15 Speaker: Jianpeng Ma
Title: New Methods for Simulating, Refining, and Modeling Supermolecular Complexes at Multi-resolution
and Multi-length Scales
5:15 – 5:45 Speaker: Gregory Herring
Title: A Minimal Model for Tumor Angiogenesis
3:45 – 5:45 SESSION 16, Room K
a
Chair: David Trubatch and Tobias Sch¨ fer
Title: Short Pulses in Optics
3:45 – 4:15 a
Speaker: Tobias Sch¨ fer
Title: Averaged dynamics of stochastic Maxwell’s equations in the short-pulse regime
4:15 – 4:45 Speaker: Yeo-Jin Chung
Title: Strongly non-Gaussian statistics of optical soliton parameters due to collisions in the presence of de-
layed Raman response
4:45 – 5:15 Speaker: Nicola D. Costanzino
Title: The short pulse equation and dispersive regularizations
5:15 – 5:45 Speaker: Jamison Moeser
Title: Dynamics of supercontinuum generation in highly nonlinear optical material
5:45 – 6:15 CONTRIBUTED PAPER, Room K
Speaker: Russell Herman
Title: Numerical Realizations of Solutions of the Stochastic KdV Equation
11
TUESDAY, APRIL 17, 2007
8:00 - 9:00 KEYNOTE LECTURE: Percy Deift, Masters Hall
Title: The Riemann-Hilbert Problem: Applications
Chair: Harvey Segur
9:00 – 10:00 SESSION 2, Masters Hall
Chairs: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
9:00 – 9:30 Speaker: David Lannes
Title: Large time existence for 3D water-waves and asymptotics
9:30 – 10:00 Speaker: M. Colin
Title: On the existence of a cone-type structure for the Raman component
9:00 – 10:00 SESSION 4, Room R
Chairs: David Cai, Gregor Kovacic and Louis Tao
Title: Wave Phenomena in Neuronal Systems
9:00 – 9:30 Speaker: David Cai
Title: Spatiotemporal Dynamics of Primary Visual Cortex
9:30 – 10:00 Speaker: Gregor Kovacic
Title: Theoretical Analysis of Reverse-Time Correlation for Idealized Orientation Tuning Dynamics
9:00 – 10:00 CONTRIBUTED PAPERS, Room Q
Chairs: David Kaup
9:00 – 9:30 Speaker: David Kaup
Title: Quantitative Estimations of Variational Approximations
9:30 – 10:00 Speaker: Thomas Vogel
Title: Solitons in Microstructured Solids
9:00 – 10:00 TUTORIAL, Room K
Mariana Haragus
Title: Spatial dynamics and multi-dimensional waves(1)
10:00 – 10:20 COFFEE BREAK
10:20 – 12:20 SESSION 2, Masters Hall
Chair: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
10:20 – 10:50 Speaker: D. Mitsotakis
Title: Boussinesq systems in two space dimensions over a variable bottom
10:50 – 11:20 Speaker: Nghiem Nguyen, Min Chen and Shuming Sun
Title: Stability of Traveling Wave Solutions to a Boussinesq system
11:20 – 11:50 Speaker: Robin Ming Chen
Title: Existence and Stability of 2D Traveling Waves in an Elastic Plate
11:50 – 12:20 Speaker: Walter Strauss
Title: Stability and Instability for the Vlasov-Maxwell System
12
10:20 – 12:20 SESSION 4, Room R
Chairs: David Cai, Gregor Kovacic and Louis Tao
Title: Wave Phenomena in Neuronal Systems
10:20 – 10:50 Speaker: Daphne Manoussaki
Title: Low frequency wave propagation in a spiral cochlea: results and biological implications
10:50 – 11:20 Speaker: Aaditya V Rangan
Title: Correlations, Causality and Coding in Cortex
11:20 – 11:50 Speaker: Andrew T. Sornborger
Title: Detecting and Estimating Wave Motion in Noisy Multivariate Data: Vasomotor Oscillations in Brain
Imaging Data
11:50 – 12:20 Speaker: Fatma Gurel Kazanci and G. Bard Ermentrout
Title: Traveling waves in a neuronal phase model
10:20 – 12:20 CONTRIBUTED PAPERS, Room Q
Chairs: John Steinhoff
10:20 – 10:50 Speaker: John Steinhoff and Subhashini Chitta
Title: Long Range Numerical Simulation of Short Waves as Nonlinear Solitary Waves
10:50 – 11:20 Speaker: Sayed Hoseini
Title: Soliton perturbation theory for a higher-order Hirota equation
11:20 – 11:50 Speaker: Rossen Ivanov
Title: Conformal and Geometric Properties of the Camassa-Holm Hierarchy
11:50 – 12:20 Speaker: Ryan Foster and Thiab Taha
Title: Web Based Interface for numerical simulations of Nonlinear Evolution Equations
10:20 – 12:20 TUTORIAL (Continued), Room K
Speaker: Mariana Haragus
Title: Spatial dynamics and multi-dimensional waves(2)
12:20 – 1:20 LUNCH
1:20 – 3:20 SESSION 6 , Masters Hall
Chair: R. Carretero-Gonzalez, P.G. Kevrekidis and B.A. Malomed
Title: Theory, Simulations and Experiments in Bose-Einstein Condensates
1:20 – 1:50 Speaker: Brian Kennedy
Title: Matter wave lens for Bose-Einstein condensates
1:50 – 2:20 Speaker: Lincoln Carr
Title: Quantum Entangled Dark Solitons in Bose-Einstein Condensates on Optical Lattices
2:20 – 2:50 Speaker: Han Pu
Title: Pinning of Vortex Lattice in a Rotating Condensate
2:50 – 3:20 Speaker: Alexandru I. Nicolin and Mogens H. Jensen
Title: Mode locking of Bose-Einstein condensates
13
1:20 – 2:20 SESSION 5, Room R
Chairs: John Carter
Title: Stability of Surface Water Waves
1:20 – 1:50 Speaker: Ben Safdi
o
Title: Finite-time singularities in coupled nonlinear Schr¨ dinger equations with 4-wave mixing
1:50 – 2:20 Speaker: Connie Schober
Title: Rogue waves, non-Gaussian statistics and proximity to homoclinic data
2:20 – 3:20 SESSION 3, Room R
Chairs: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Miller
Title: Non-Self-Adjoint Spectral Problems
2:20 – 2:50 Speaker: Vitali Vougalter
Title: Eigenvalues of zero energy in the linearized NLS problem
2:50 – 3:20 Speaker: Vahagn Manukian
Title: Multi-pulses in PDEs with Reflection and Phase Invariance
1:20 – 3:20 SESSION 9, Room Q
Chairs: Bao-Feng Feng, Zhijun Qiao and Kenichi Maruno
Title: Advances in Theoretical and Numerical Methods of Discrete Systems
1:20 – 1:50 Speaker: Stephane Lafortune
Title: How to detect integrability in Cellular Automata
1:50 – 2:20 Speaker: Thomas Wolf
Title: 3-dimensional scalar discrete integrable equations
2:20 – 2:50 Speaker: Kenichi Maruno
Title: On the Rational Solutions of Continuous and Discrete DKP-type Equation
2:50 – 3:20 Speaker: Mariusz Białecki
Title: On some integrable system over finite fields
1:20 – 3:20 SESSION 14, Room K
Chairs: Andrei Ludu
Title: Solitons and Nonlinear Patterns on Closed Surfaces/Curves
1:20 – 1:50 Speaker: Annalisa Calini
Title: The Localized Induction Equation for Vortex Filament Motion: Families of Closed Solutions and their
Properties
1:50 – 2:20 Speaker: Stefan Mancas and Roy Choudhury
Title: General Spatiotemporal Structure of Pulsating and Snake Solitons in the Cubic-Quintic Ginzburg-
Landau Equation
2:20 – 2:50 Speaker: Yao Ruo-Xia
Title: Multi-component WKI Equations and their Conservation Laws
2:50 – 3:20 Speaker: Andrei Ludu
Title: 2-Dimensional Shape Solitons on the Inside of Loops: Liquid Nitrogen Drops
14
1:20 – 6:15 POSTER PAPERS, Pecan Tree Galleria
Paper 1: Gap-Solitons in a Three-Layer Stratified Shear Flow
Author: Paul Christodoulides
o
Paper 2: On the exact pre-breaking solution of the semi-classical cubic nonlinear Schr¨ dinger equation with
pulse-like initial data
Authors: M. G. Forest, C.-J. Rosenberg and Otis C. Wright
Paper 3: Spatio-Temporal Dynamics of Contrast Adaptation in Visual Cortex
Author: Louis Tao
3:20 – 3:45 COFFEE BREAK
3:45 – 6:15 SESSION 9, Master Hall
Chairs: Bao-Feng Feng, Zhijun Qiao and Kenichi Maruno
Title: Advances in Theoretical and Numerical Methods of Discrete Systems
3:45 – 4:15 Speaker: Gino Biondini
Title: Initial-boundary value problems for differential-difference evolution equations
4:15 – 4:45 Speaker: Takayuki Tsuchida
Title: Soliton solutions to integrable lattices of the derivative NLS type
4:45 – 5:15 Speaker: Barbara Prinari
o
Title: Inverse scattering transform for the integrable discrete nonlinear Schr¨ dinger equation with non-
vanishing boundary conditions
5:15 – 5:45 Speaker: Taixi Xu
Title: Constructing Lax Pairs for Soliton Equations
5:45 – 6:15 Speaker: Keisuke Nakajima
Title: Ultradiscretization of partial differential equations by using a max-plus transformation for complex
variables
3:45 – 5:45 SESSION 3, Room R
Chairs: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Miller
Title: Non-Self-Adjoint Spectral Problems
3:45 – 4:15 Speaker: Robert Buckingham
Title: A Model Problem for the Semiclassical Sine-Gordon Equation
4:15 – 4:45 Speaker: Jared Bronski
Title: The Sine-Gordon scattering problem for stationary initial data
4:45 – 5:15 Speaker: Gregory Lyng
Title: Evans Meets Zakharov and Shabat
5:15 – 5:45 Speaker: Richard Kollar
Title: Stability of Nonlinear Waves via the Krein signature
5:45 – 6:15 Speaker: Jeffery DiFranco
o
Title: The Semiclassical Modified Nonlinear Schr¨ dinger Equation: Spectral Analysis
15
3:45 – 5:45 SESSION 5, Room Q
Chair: John Carter
Title: Stability of Surface Water Waves
3:45 – 4:15 Speaker: Ranis Ibragimov
Title: Shallow water theory and solution of the problem on the atmospheric motion around a celestial body
4:15 – 4:45 Speaker: Firat Kiyak
Title: SpectrUW: computing spectra of linear operators in one and more dimensions
4:45 – 5:15 Speaker: Frederik Dias
Title: On the role of dissipation on the Benjamin-Feir instability
5:15 – 5:45 Speaker: Walter Strauss
Title: Stability of Steady Water Waves with Vorticity
5:45 – 6:15 CONTRIBUTED PAPERS, Room Q
Chair: John Carter
5:45 – 6:15 Speaker: Pavel Lushnikov
Title: Backscatter instability of incoherent beam in high temperature plasma
3:45 – 4:15 CONTRIBUTED PAPERS, Room K
Chair: Sherif Moussa
3:45 – 4:15 Speaker: Nguyet Nguyen
Title: Generalized Solitary Waves Of Depression
4:15 – 4:45 Speaker: Majid Badieirostami and Ali Adibi
Title: Fast and efficient simulation of diffuse light using Wiener chaos expansion for the analysis of inhomo-
geneous optical structures
4:45 – 5:15 Speaker: Brian Moore
Title: Conformal Multi-Symplectic Integrators
5:15 – 5:45 Speaker: Jinglai Li
Title: Accurate estimates of polarization-induced outages in optical fiber communication systems
5:45 – 6:15 Speaker: Sherif Moussa and Usama Al Khawaja
o
Title: Exact Solutions of Non-Homogeneous Time Dependent Schr¨ dinger Equation in Three Dimensions
Using Darboux Transformations
7:00 – 9:00 BANQUET
Speaker: Jerry Bona
Awards(Best Student Papers): Thiab Taha
16
WEDNESDAY, APRIL 18, 2007
8:00 – 9:00 KEYNOTE LECTURE: Brian Straughan (UK), Masters Hall
Title: Poroacoustic Acceleration Waves
Chair: Pedro Jordan
9:00 – 10:00 SESSION 2, Masters Hall
Chair: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
9:00 – 9:30 Speaker: Thierry Colin
Title: Numerical coupling of Landau damping and Raman amplification
9:30 – 10:00 Speaker: Vera Mikyoung Hur
Title: Rotational Stokes Waves of Finite Depth: Existence and Stability
9:00 – 10:00 SESSION 10, R
Chair: Jennifer Gorsky and David P. Nicholls
Title: Well-Posedness for Nonlinear Dispersive Wave Equations
9:00 – 9:30 Speaker: Feride Tiglay
Title: Infinite energy solutions for a perfect incompressible fluid
9:30 – 10:00 Speaker: Slim Ibrahim
o
Title: Instability results for supercritical nonlinear wave and Schr¨ dinger equations
9:00 – 10:00 CONTRIBUTED PAPERS, Q
Chair: Otis Wright
9:00 – 9:30 Speaker: Mark Hoefer and Mark Ablowitz
Title: Dispersive Shock Wave Interactions: Collisions and Merging
9:30 – 10:00 Speaker: Otis Wright
Title: Dressing procedure and some homoclinic connections for the Sasa-Satsuma equation
9:00 – 10:00 TUTORIAL, Room F/G
Michael Weinstein
Title: Waves in Microstructures(1)
10:00 – 10:20 COFFEE BREAK
10:20 – 12:20 SESSION 2 , Masters Hall
Chairs: Jerry Bona, Min Chen and Vassilios Dougalis
Title: Nonlinear Waves
10:20 – 10:50 Speaker: Vladimir Varlamov
Title: Products of Airy functions and applications to nonlinear wave equations
10:50 – 11:20 Speaker: Karen Yagdjian
Title: Nonlinear wave equations with time-dependent speed of propagation
11:20 – 11:50 Speaker: Gerard Iooss
Title: Asymmetrical periodic traveling wave patterns of two-dimensional Boussinesq systems
11:50 – 12:20 Speaker: Min Chen
Title: Long-Time Asymptotic Behavior of Dissipative Boussinesq System
17
10:20 – 12:20 SESSION 8, Room R
Chairs: Christo Christov
Title: Solitons and Quasi-Particles in Non-Integrable Systems
10:20 – 10:50 Speaker: John Boyd
Title: Radial basis function and rational Chebyshev algorithms for solving nonlinear wave equations
10:50 – 11:20 Speaker: C. I. Christov
Title: The Concept of Quasi-Particle and the Non-probabilistic Interpretation of Wave Mechanics
11:20 – 11:50 Speaker: Tchavdar T. Marinov
Title: Identification of Solitary-Wave Solutions as an Inverse Problem: Application to Shapes with Non-
monotone Tails
11:50 – 12:20 Speaker: Andrus Salupere
Title: Interaction of solitary deformation waves in microstructured solids
10:20 – 12:20 CONTRIBUTED PAPERS, Room Q
Chairs: Brian Moore
10:20 – 10:50 Speaker: Allen Parker
Title: Wave dynamics of “peaked” solitons of the Camassa-Holm equation
10:50 – 11:20 Speaker: Benjamin Skuse
Title: Evolution of Unsymmetric Pulses in Birefringent Optical Fibres
11:20 – 11:50 Speaker: Roman Zaritski
Title: Parallel Simulations of Spontaneous Multi-Armed Scroll Waves in Excitable Media
11:50 – 12:20 Speaker: Tomasz Wlodarczyk
Title: Linear and Nonlinear Stability Analysis of Multisymplectic Integrators for Hamiltonian Wave Equa-
tions
10:20 – 12:20 TUTORIAL, Room F/G
Michael Weinstein
Title: Waves in Microstructures(2)
12:20 – 1:20 LUNCH
1:20 – 3:20 SESSION 9, Masters Hall
Chairs: Bao-Feng Feng, Zhijun Qiao and Kenichi Maruno
Title: Advances in Theoretical and Numerical Methods of Discrete Systems
1:20 – 1:50 Speaker: Chris Eilbeck
Title: Breathers in mica crystals - theory and experiment
1:50 – 2:20 Speaker: Atshushi Nakamula
Title: Aspects of q–discretized Nahm equations
2:20 – 2:50 Speaker: Bao-Feng Feng
Title: Interaction of discrete breathers in Fermi-Pasta-Ulam chain
2:50 – 3:20 Speaker: Yusuke Doi
Title: Discrete breathers in two dimensional Fermi-Pasta-Ulam lattice systems
1:20 – 2:50 SESSION 3, Room R
Chairs: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Mille
Title: Non-Self-Adjoint Spectral Problems
1:20 – 1:50 Speaker: Peter Miller
Title: Universality Classes for Semiclassical Eigenvalue Problems
1:50 – 2:20 Speaker: Alexander Tovbis
o
Title: Semiclassical focusing Nonlinear Schr¨ edinger Equation: Inverse scattering map and its evolution for
radiative initial data
18
2:20 – 2:50 Speaker: Richard McLaughlin
Title: Random Passive Scalars in Deterministic Shear Layers
2:50 – 3:20 CONTRIBUTED PAPER, Room R
Chair:
2:50 – 3:20 Speaker:
Title:
1:20 – 3:20 SESSION 6, Room Q
Chair: R. Carretero-Gonzalez, P.G. Kevrekidis and B.A. Malomed
Title: Theory, Simulations and Experiments in Bose-Einstein Condensates
1:20 – 1:50 Speaker: V. A. Brazhnyi
Title: Nonlinear tunneling in two-dimensional lattices
1:50 – 2:20 Speaker: Ziad Musslimani
Title: Bose-Einstein condensates in a random potential
2:20 – 2:50 Speaker: V. Gerdjikov
Title: On the interactions of multicomponent NLS solitons in external potentials
2:50 – 3:20 Speaker: Harris Susanto
o
Title: Radiation in a Binary Schr¨ dinger Flow Past an Obstacle
1:20 – 3:20 SESSION 7, Room F/G
Chair: Demetrios Christodoulides
Title: Discrete and dissipative solitons in optics
1:20 – 1:50 Speaker: Yuliy V. Bludov
Title: Symmetric and antisymmetric discrete surface, corner and edge modes
1:50 – 2:20 Speaker: Jason Fleischer
Title: Dispersive shock waves in nonlinear arrays
2:20 – 2:50 Speaker: K. G. Makris
Title: Nonlinear Surface Waves in Optical Lattices
2:50 – 3:20 Speaker: Roberto Morandotti
Title: Spatio-temporal Effects in Nonlinear Waveguide Arrays
3:20 – 3:45 COFFEE BREAK
3:45 – 5:45 SESSION 9, Masters Hall
Chairs: Bao-Feng Feng, Zhijun Qiao and Kenichi Maruno
Title: Advances in Theoretical and Numerical Methods of Discrete Systems
3:45 – 4:15 Speaker: Xing-Biao Hu, Guo-Fu Yu
Title: Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
4:15 – 4:45 Speaker: Kazuyuki Yoshimura
Title: Moving discrete breathers: Resonance and stability
4:45 – 5:15 Speaker: Shin-itiro Goto
Title: A perturbation method for delay systems – an extension of the renormalization method –
5:15 – 5:45 Speaker: Zhijun Qiao
Title: CH peakon system and r-matrix structure
5:45 – 6:15 Speaker: Yue Liu
Title: Global existence of solutions and blow-up phenomena for the Degasperis-Procesi equation
19
3:45 – 4:45 SESSION 3, Room R
Chairs: Robert Buckingham, Jeffery DiFranco, Richard Kollar and Peter Miller
Title: Non-Self-Adjoint Spectral Problems
3:45 – 4:15 Speaker: Steve Levandosky
Title: Stability of Solitary Waves of a Fifth-Order KdV Equation
4:15 – 4:45 Speaker: Anna Ghazaryan
Title: Nonlinear Convective Instability of Turing-unstable Fronts Near Onset: a Case Study
4:45 – 5:15 SESSION 8, Room R
Chairs: Christo Christov
Title: Solitons and Quasi-Particles in Non-Integrable Systems
4:45 – 5:15 Speaker: M. D. Todorov
Title: Impact of the Large Cross-Modulation Parameter on the Collision Dynamics of Quasi-Particles Gov-
erned by Vector NLSE
5:15 – 6:15 CONTRIBUTED PAPER , Room R
Chair: Xing-Biao Hu
5:15 – 5:45 Speaker: Hong-Yan Wang
Title: A new method to construct soliton equations with self-consistent sources—Source generation procedure
5:45 – 6:15 Speaker: David Trubatch
Title: Dynamics of KdV-type lattices
3:45 – 5:45 SESSION 10 , Room Q
Chairs: Jennifer Gorsky and David P. Nicholls
Title: Well-Posedness for Nonlinear Dispersive Wave Equations
3:45 – 4:15 Speaker: Alex Himonas
Title: Non-uniform continuity in Sobolev spaces of the solution map of the Camassa-Holm equation
4:15 – 4:45 Speaker: Gigliola Staffilani
Title: Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO −1
4:45 – 5:15 Speaker: David Ambrose
Title: The Zero Surface Tension Limit of 3D Water Waves
5:15 – 5:45 Speaker: Gerard Misiołek
Title: Euler equations and diffeomorphism groups
3:45 – 4:45 SESSION 7 , Room F/G
Chair: Demetrios Christodoulides
Title: Discrete and dissipative solitons in optics
3:45 – 4:15 Speaker: G. I. Stegeman
Title: Surface Waves in Nonlinear Waveguide Arrays
4:15 – 4:45 Speaker: Zhigang Chen
Title: Linear and nonlinear localization of light in discrete optical structures
4:45 – 6:15 CONTRIBUTED PAPER, Room F/G
Chair: Xu Runzhang
4:45 – 5:15 Speaker: Xu Runzhang
Title: Initial boundary value problem of two classes of fourth order evolution equations
5:15 – 6:15 Speaker: Liu Yacheng
Title: Wave equations and reaction-diffusion equations with two nonlinear source terms of different sign
20
THURSDAY, APRIL 19, 2007
12:00 – 1:00 LUNCH, The Savannah Room, Georgia Center
THE END OF THE PROGRAM
21
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