On the Construction of a Modulating Multiphase Wavetrain for a Perturbed KdV Equation.

Abstract

This paper summarizes the status of a direct construction of an asymptotic representation of a modulating multiphase wavetrain for a class of perturbed KdV equations. This class includes the KdV-Burgers' equation. The calculations apply on a boundary between dispersive and dissipative behavior. The construction proceeds by standard asymptotic methods. The result of the construction is an invariant representation of the reduced equations which permits their diagonalization. While mathematically the construction is incomplete, care is taken to correctly identify the mathematical status of each step in the construction. The equivalence of this constructive approach with the postulated averaging of conversation laws is established for two phase waves. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA125123

Entities

People

  • David W. Mclaughlin

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coefficients
  • Construction
  • Differential Equations
  • Dissipation
  • Eigenvectors
  • Equations
  • Frequency
  • Linear Systems
  • Materials
  • Mathematics
  • New York
  • Partial Differential Equations
  • Sequences
  • Universities
  • Waveforms
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)