Open AccessExpression of time almost periodic traveling wave solutions to a class of competition diffusion systems
Author(s) -
Fang Li,
Bendong Lou
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13923
Subject(s) - traveling wave , diffusion , mathematics , mathematical analysis , class (philosophy) , product (mathematics) , scale (ratio) , physics , computer science , geometry , thermodynamics , quantum mechanics , artificial intelligence
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).