Title

Modulational Stability Of Korteweg-De Vries And Boussinesq Wavetrains

Keywords

kdv and boussinesq wavetrains; modulational stability; nonlinear Schrödinger equation; Nonlinear waves; Whitham's variational principle

Abstract

The modulational stability of both the Korteweg-de Vries (KdV) and the Boussinesq wavetrains is investigated using Whitham's variational method. It is shown that both KdV and Boussinesq wavetrains are modulationally stable. This result seems to confirm why it is possible to transform the KdV equation into a nonlinear Schrödinger equation with a repulsive potential. A brief discussion of Whitham’s variational method is included to make the paper self-contained to some extent. © 1983, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1983

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

6

Issue

4

Number of Pages

811-817

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171283000691

Socpus ID

84892348353 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84892348353

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