Directed Graphs and Traveling Waves.

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1983
Accession Number
ADA132861

Entities

People

  • David Terman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Differential Equations
  • Diffusion
  • Equations
  • Generators
  • Genetics
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Partial Differential Equations
  • Population Genetics
  • Real Variables
  • Sequences
  • Theorems
  • Traveling Waves
  • United States

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Neuroscience

Technology Areas

  • Biotechnology