Traveling Wave Solutions of a Multistable Reaction-Diffusion Equation.

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA120987

Entities

People

  • David Terman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Continents
  • Differential Equations
  • Diffusion
  • Equations
  • Geographic Regions
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Permutations
  • Population Genetics
  • Trajectories
  • Traveling Waves
  • United States
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Operations Research
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Biotechnology