In this chapter we review the theory of modulation equations orWhitham 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.

Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations / Grava, Tamara. - 926:(2016), pp. 309-335. [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

Grava, Tamara
2016-01-01

Abstract

In this chapter we review the theory of modulation equations orWhitham 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.
2016
926
Rogue and shock waves in nonlinear dispersive media
309
335
https://arxiv.org/abs/1701.00069
http://dx.doi.org/10.1007/978-3-319-39214-1
Grava, Tamara
File in questo prodotto:
File Dimensione Formato  
Grava_Springer.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 567.4 kB
Formato Adobe PDF
567.4 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/49010
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 8
social impact