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

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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

Abstract
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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.

Keywords: Stability, bistability., traveling waves, nonlocal evolution equations.

Mathematics Subject Classification: Primary: 35K55, 35Q9.

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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