#### Coupled Nonlinear Schrodinger Equations of Fibre Optics

* D. F. Parker,*

Department of Mathematics, University of Edinburgh
*Abstract:* Coupled nonlinear Schroedinger equations arise in a number of ways in
fibre optics and in describing optical devices. A number of explicit
exact solutions are known. Many are akin to the soliton solutions of
the usual NLS equation. Many are examples of similarity solutions.

Some analytic and numerical properties of such solutions, commonly
known as *vector solitons* will be described, particularly
their collision properties for a symmetrically coupled pair of
equations.

*Coffee, tea and cookies will be served in Math Lounge (Annex)
Room 1115, 3:15 p.m.