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

Fang Li | Zendy; Bendong Lou | Zendy

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

Author(s) -

Fang Li,

Bendong Lou

Publication year - 2017

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).

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