Mathematical Problems of Nonlinear Wave Propagation and of Waves in Heterogeneous Media.

Abstract

This is the final report of a project carried out in the Applied Mathematics Groups of the Department of Mathematics at Stanford University. Results were obtained on the stability of nonlinear waves and of solutions of nonlinear amplitude equations of the Ginzburg-Landau type. New results were obtained on solutions of the Kortweg-de Vries equation. Uniform solutions for scattering regions for Hill's equation were determined, which can be used to describe waves in periodic media. Keywords include: nonlinear waves, heterogenous media, reciprocal theorems, and effective parameters.

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Document Details

Document Type
Technical Report
Publication Date
Oct 22, 1986
Accession Number
ADA177549

Entities

People

  • Joseph B. Keller

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Applied Mathematics
  • Computational Science
  • Conductivity
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Fluid Mechanics
  • Mathematics
  • Mechanics
  • Partial Differential Equations
  • Physics
  • Quantum Mechanics
  • Scattering
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.