American Institute of Mathematical Sciences

Advanced
2011, 2011(Special): 1368-1377. doi: 10.3934/proc.2011.2011.1368

Traveling fronts in perturbed multistable reaction-diffusion equations

Masaharu Taniguchi 1,

1. 

Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552

Received  July 2010 Revised  March 2011 Published  October 2011

In this paper we study the existence and non-existence of traveling front solutions in multistable reaction-di usion equations. If this equation has a traveling front solution, a perturbed equation also has a traveling front solution. We study how the speed and the traveling pro le depend on nonlinear terms.
Keywords: perturbation, traveling waves.
Mathematics Subject Classification: Primary: 35C07; Secondary: 35B20.
Citation: Masaharu Taniguchi. Traveling fronts in perturbed multistable reaction-diffusion equations. Conference Publications, 2011, 2011 (Special) : 1368-1377. doi: 10.3934/proc.2011.2011.1368
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