# American Institute of Mathematical Sciences

August  2009, 24(3): 659-673. doi: 10.3934/dcds.2009.24.659

## Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity

 1 Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, United States

Received  February 2008 Revised  December 2008 Published  April 2009

The uniqueness and stability of traveling wave solutions for system of nonlocal evolution equations with bistable nonlinearity are established. It is also proved that traveling waves are monotone and exponentially asymptotically stable, up to translation.
Citation: Fengxin Chen. Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity. Discrete & Continuous Dynamical Systems - A, 2009, 24 (3) : 659-673. doi: 10.3934/dcds.2009.24.659
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