Article Contents
Article Contents

# Traveling wave solution for a lattice dynamical system with convolution type nonlinearity

• We study traveling wave solutions for a lattice dynamical system with convolution type nonlinearity. We consider the monostable case and discuss the asymptotic behaviors, monotonicity and uniqueness of traveling wave. First, we characterize the asymptotic behavior of wave profile at both wave tails. Next, we prove that any wave profile is strictly decreasing. Finally, we prove the uniqueness (up to translation) of wave profile for each given admissible wave speed.
Mathematics Subject Classification: Primary: 34K05, 34A34; Secondary: 34K60, 34E05.

 Citation:

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