MATHEMATICS COLLOQUIUM

A Qualitative Study

to a Reaction-Diffusion Equation

Dr. Zhaosheng Feng

Department of Mathematics

UT-Pan American

There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modelling and analysis involved. In the present talk, we study a nonlinear reaction-diffusion equation, which can be considered as a generalized Fisher equation. Applying the qualitative theory of planar systems, we show that under certain parametric conditions, the nontrivial bounded traveling wave solution for the generalized Fisher equation is monotone increasing. We then present a traveling wave solution to the generalized Fisher equation by using the Cole-Hopf transformation, and establish a new class of exact solutions for the generalized Fisher equation by means of the Lie Symmetry Method.

Date: Monday, February 7

Time: 3:00pm

Place: J. Wiener Lecture Hall, MAGC 1.302

Refreshments will be served at 2:45pm.

For further information or for special accommodations, contact Dr. Cristina Villalobos at 381-2123 or visit www.math.panam.edu/colloquia.html