Thursday, July 25
The emphasis throughout this minisymposium will be on geometric structures that exist in infinite-dimensional phase spaces, such as homoclinic orbits, invariant manifolds, multi_phase solutions, low-dimensional attractors or symplectic invariants can be used to describe the physical features of the problems at hand.
Nonlinear Dynamics and Geometry in Integrable and Near-Integrable Partial Differential Equations
The speakers will discuss laser optics and dynamics of space-curves and DNA molecules. They will present careful comparisons between the analytical and computational work will be presented.
Organizers: Annalisa Calini, Case Western Reserve University; Gregor Kovacic, Rensselaer Polytechnic Institute; and Constance Schober, University of Colorado, Boulder
- 8:30 On the Numerical Solution of the Sine-Gordon Equation
- B.M. Herbst, University of Orange Free State, South Africa; Constance Schober, Organizer; and Mark Ablowitz; University of Colorado
- 9:00 Mel'nikov Analysis of Computational Chaos in the Nonlinear Schrodinger Equation
- Constance Schober and Annalisa Calini, Organizers; N.M. Ercolani, University of Arizona; and D.W. McLaughlin, Courant Institute of Mathematic Sciences, New York University
- 9:30 Soliton Equations and Evolution of Space Curves
- Annalisa Calini, Organizer
- 10:00 Regular and Chaotic Dynamics of the Maxwell-Bloch Equations of Nonlinear Laser Optics
- Gregor Kovacic, Organizer; and Thomas A. Wettergren, Naval Undersea Warfare Center