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

Tamara Grava

doi:10.1007/978-3-319-39214-1_10

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 proceeding › Chapter in a book

6 Citations (Scopus)

470 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 language	English
Title of host publication	Rogue and Shock Waves in Nonlinear Dispersive Media
Editors	Miguel Onorato, Stefania Resitori, Fabio Baronio
Publisher	Springer
Pages	309-335
Number of pages	27
ISBN (Electronic)	9783319392141
ISBN (Print)	9783319392127
DOIs	https://doi.org/10.1007/978-3-319-39214-1_10
Publication status	Published - 2016

Publication series

Name	Lecture Notes in Physics
Publisher	Springer
Volume	926
ISSN (Print)	0075-8450

Keywords

Modulation equations
Long time asymptotics

Access to Document

10.1007/978-3-319-39214-1_10

Full-text PDF (accepted author manuscript)
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Springer at http://link.springer.com/chapter/10.1007%2F978-3-319-39214-1_10. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 441 KB

Handle.net

Persistent link

Cite this

@inbook{95abd8f1d5014f69add6f5f5aa2ff36a,

title = "Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations",

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.",

keywords = "Modulation equations, Long time asymptotics",

author = "Tamara Grava",

year = "2016",

doi = "10.1007/978-3-319-39214-1_10",

language = "English",

isbn = "9783319392127",

series = "Lecture Notes in Physics",

publisher = "Springer",

pages = "309--335",

editor = "Miguel Onorato and Stefania Resitori and Fabio Baronio",

booktitle = "Rogue and Shock Waves in Nonlinear Dispersive Media",

}

Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations. / Grava, Tamara.
Rogue and Shock Waves in Nonlinear Dispersive Media. ed. / Miguel Onorato; Stefania Resitori; Fabio Baronio. Springer, 2016. p. 309-335 (Lecture Notes in Physics; Vol. 926).

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

TY - CHAP

T1 - Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations

AU - Grava, Tamara

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Modulation equations

KW - Long time asymptotics

UR - http://www.scopus.com/inward/record.url?scp=84988569349&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-39214-1_10

DO - 10.1007/978-3-319-39214-1_10

M3 - Chapter in a book

AN - SCOPUS:84988569349

SN - 9783319392127

T3 - Lecture Notes in Physics

SP - 309

EP - 335

BT - Rogue and Shock Waves in Nonlinear Dispersive Media

A2 - Onorato, Miguel

A2 - Resitori, Stefania

A2 - Baronio, Fabio

PB - Springer

ER -

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

Abstract

Publication series

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this