### Monday, May 19

4:00 PM-6:00 PM
*Wasatch A & B - Level C*

## MS22

Integrable Systems Methods for Curve Evolution

This minisymposium proposes to discuss different aspects of the interaction between soliton equations and the properties and dynamics of space curves. Interest in modeling curves and knots by means of completely integrable equations has revived in recent years with applications to topological fluid dynamics, the evolution of vortex filaments and vortex patches, and to the modeling of DNA and macromolecules. This minisymposium is directed to an audience whose main interests are nonlinear dynamics and completely integrable equations, knot theory and its applications in biology and fluid dynamics, applied dynamical systems and their connections to differential geometry and topology of curves and surfaces. Its principal purpose is to encourage applications of well-established techniques of integrable systems to a variety of problems in which curve dynamics and knots arise. It also advocates that, on the one hand, a geometric interpretation of soliton equations can shed new light on their structure; on the other hand, their large families of special solutions, such as the solitons and the multi-phase solutions, can provide an important tool for the study of the topological properties of related curves.

**Organizers: Annalisa Calini, University of Charleston; and Thomas Ivey, Case Western Reserve University **

**4:00 Geometric Realizations of Fordy-Kulish Integrable Systems, Sym-Pohlmeyer Curves, and Related Variation Formulas (Part I) **
*Joel Langer*, Case Western Reserve University; and Ron Perline, Drexel University
**4:30 Geometric Realizations of Fordy-Kulish Integrable Systems, Sym-Pohlmeyer Curves, and Related Variation Formulas (Part II)**
- Joel Langer, Case Western Reserve University; and
*Ron Perline*, Drexel University
**5:00 Homotopies and Knot Types of Elastic Rods **
- Thomas Ivey, Organizer
**5:30 Backlund Transformations of Knots of Constant Torsion**
*Annalisa Calini* and Thomas Ivey, Organizers

DS97 Homepage | Program Updates|

Registration | Hotel Information | Transportation | Program-at-a-Glance | Program Overview

*TMP, 4/3/97*