Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems

Li, Fang; Lou, Bendong

doi:10.1090/proc/13923

Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems
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by Fang Li and Bendong Lou PDF

Proc. Amer. Math. Soc. 146 (2018), 2163-2171 Request permission

Abstract:

In this paper we consider a class of competition diffusion systems with time almost periodic coefficients. We show that any almost periodic traveling wave solution to such a system is given by a decomposition formula, that is, each component of the solution equals the product of the corresponding diffusion coefficient and the classical traveling wave solution (with a different time scale).

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