Traveling Wave Solutions of a Multistable Reaction-Diffusion Equation.

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Abstract:

The equation considered here has been considered as a model for a variety of physical phenomena including population genetics and nerve conduction. Of primary interest is the eventual 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. In this paper we determine all of the traveling wave solutions of the equation, showing there are situations when there exist an infinite number of traveling wave solutions.

Author(s):
Terman, David
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0030

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2417
Contract/Grant Number(s):
DAAG29-80-C-0041, NSF-MCS80-17158
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_5.3_Planning; JCA_5_Command and Control
Communities of Interest:
Air Platforms
Descriptor(s):
*STABILITY, *DIFFUSION, *EQUATIONS, *TRAVELING WAVES, *NERVE TRANSMISSION, CONDUCTIVITY, PHYSICAL PROPERTIES, SHAPE, POPULATION, CONSTANTS, GENETICS
Field(s)/Group(s):
Anatomy and Physiology, Radiofrequency Wave Propagation
Report Date:
1982 Sep 01