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2007, 2007(Special): 382-390. doi: 10.3934/proc.2007.2007.382

## Traveling waves to a reaction-diffusion equation

 1 Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539, United States

Received  September 2006 Revised  March 2007 Published  September 2007

In this paper, we study a nonlinear reaction–diffusion equation for its traveling waves. This equation can be regarded as a generalization of the Fisher equation and is used as a nonlinear model, in the one-dimensional situation, for studying insect and animal dispersal with growth dynamics. Applying the Lie symmetry method, we obtain two traveling wave solutions under certain parametric conditions and express them in terms of elliptic functions.
Citation: Zhaosheng Feng. Traveling waves to a reaction-diffusion equation. Conference Publications, 2007, 2007 (Special) : 382-390. doi: 10.3934/proc.2007.2007.382
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