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Periodic
Problems in Soliton Equations
Organizers:
Annalisa Calini and Stéphane Lafortune
Department
of Mathematics, College of Charleston, USA
This
minisymposium brings together researchers whose work addresses
diverse aspects of soliton equations with periodic boundary
conditions. The periodic problem of completely integrable nonlinear
PDEs is a both rich and challenging area of study, which brings
together techniques and results from algebraic geometry and
functional analysis, spectral theory and perturbation methods. The
proposed minisymposium will discuss both theoretical and applied
aspects, including construction and analysis of special solutions,
spectral stability analysis of periodic solutions, issues of
algebraic complete integrability in the algebro-geometric context,
universal aspects of small dispersion limits, and applications of
periodic theory to vortex filament dynamics and to rogue waves
generation in deep water.
Speakers List (in alphabetical order of authors):
1. Annalisa Calini (College
of Charleston
Charleston,
USA)
Cable
Formation for Finite-Gap Solutions of the Vortex Filament Flow
Co-author:
Tom Ivey (College of Charleston)
2. John Carter (Seattle University, USA)
Stability of plane-wave solutions to a
dissipative generalization of the vector
NLS equation
3. Bernard Deconinck (University
of Washington,
USA)
KdV
cnoidal waves are linearly stable.
4. Thomas Ivey (College of Charleston Charleston, USA)
Finite-Gap Solutions of the Vortex Filament Flow:
Genus One Solutions and Symmetric Solutions
5. Stéphane Lafortune (College
of Charleston Charleston,
USA)
Stability
Analysis of Persisting Periodic Solutions to
a Complex Ginzburg-Landau Perturbation of NLS
Co-author:
Tom Ivey (College of Charleston)
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