Sunday, September 24
MS40
Numerical Aspects and Applications of Soliton Equations
10:30 AM-12:30 PM
New Hampshire 2
The Nonlinear Schrödinger (NLS) and related soliton equations arise in the description of many physical
phenomena. In this minisymposium, the speakers will discuss recent results on blow-up solutions and turbulent behavior in higher dimensional NLS and applications in optics such as dispersion managed solitons. They will discuss symplectic integrators for solving discrete soliton systems and software that allows for the explicit implementation of quasiperiodic solutions of integrable equations.
Organizers: Constance M. Schober
Old Dominion University, USA
Brenton J. LeMesurier
College of Charleston, USA
- 10:30-10:55 Dissipation at Singularities of the Nonlinear Schrödinger Equation Through Limits of Regularizations
- Brenton J. LeMesurier, Organizer
- 11:00-11:25 Symplectic Integrators for the Discrete Nonlinear Schrödinger Equation in Canonical and Noncanonical Form
- Constance M. Schober, Organizer
- 11:30-11:55 Integrable Discretization of the Vector Nonlinear Schrödinger Equation
- David Trubatch, University of Colorado, Boulder, USA
- 12:00-12:25 Dispersion Management and Soliton Communication Systems
- Gino Biondini, University of Colorado, Boulder, USA