Nearly linear dynamics of nonlinear dispersive waves

Research output: Contribution to journalArticle

Abstract

Dispersive averaging effects are used to show that the Kortewegde Vries (KdV) equation with periodic boundary conditions possesses high frequency solutions, which behave nearly linearly. Numerical simulations are presented, which indicate the high accuracy of this approximation. Furthermore, this result is applied to shallow water wave dynamics in the limit of KdV approximation, which is obtained by asymptotic analysis in combination with numerical simulations of KdV.

Original languageEnglish (US)
Pages (from-to)1325-1333
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume240
Issue number17
DOIs
StatePublished - Aug 15 2011

Keywords

  • Dispersive averaging
  • KdV
  • Nonlinear dispersive waves

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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