Abstract: The Nonlinear Schroedinger Equation (NLS) is an important partial differential equation that models many different physical applications, including super-fast lasers, Bose-Einstein condensates, and light traveling in optical fibers and wave guides. The goal in studying this equation is to know how its solutions (and thus the physical systems they model) behave over time. One way to do this for linear ("normal") equations is by finding a relationship between the wavelength and the frequency, called the dispersion relation. Unfortunately, the traditional dispersion relation approach does not work for nonlinear waves (like the NLS). However, I've found that some numerical solutions of the NLS have an effective dispersion relation. In this talk, I'll discuss this important equation and this apparent abnormally "normal" behavior. This talk will be accessible to a general audience.