Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations

Tamara Grava*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

3 Citations (Scopus)
300 Downloads (Pure)

Abstract

In this chapter we review the theory of modulation equations or Whitham equations for the travelling wave solution of KdV. We then apply the Whitham modulation equations to describe the long-time asymptotics and small dispersion asymptotics of the KdV solution.
Original languageEnglish
Title of host publicationRogue and Shock Waves in Nonlinear Dispersive Media
EditorsMiguel Onorato, Stefania Resitori, Fabio Baronio
PublisherSpringer
Pages309-335
Number of pages27
ISBN (Electronic)9783319392141
ISBN (Print)9783319392127
DOIs
Publication statusPublished - 2016

Publication series

NameLecture Notes in Physics
PublisherSpringer
Volume926
ISSN (Print)0075-8450

Keywords

  • Modulation equations
  • Long time asymptotics

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