Accession Number : ADA132861

Title :   Directed Graphs and Traveling Waves.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Terman,David

PDF Url : ADA132861

Report Date : Jul 1983

Pagination or Media Count : 66

Abstract : The equation studied here has been considered as a model for a variety of physical phenomena including population genetics and nerve conduction. Of primary interest is the limiting behavior of solutions of this equation. One expects the solution eventually to look like a traveling wave solution; that is, one which moves with constant shape and velocity. This paper determines all of the traveling wave solutions of the equation, showing there are situations when the number of traveling wave solutions can be infinite.

Descriptors :   *Equations, *Traveling waves, Graphs, Solutions(General), Numbers, Points(Mathematics), Constants, Shape, Velocity

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE