Travelling Wave Solutions to a Gradient System

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1988Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 307, page 535 (issn: 0002-9947,

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Authors: James F. Reineck;

doi: 10.2307/2001187 , 10.1090/s0002-9947-1988-0940216-8

Travelling Wave Solutions to a Gradient System

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Abstract

Given a system of reaction-diffusion equations where the nonlinearity is derived from a potential with certain restrictions, we use the Conley index and the connection matrix to show that there is a travelling wave solution connecting the maxima of the potential.

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