Evolution of a solitonless large-scale perturbation in Korteweg-de Vries hydrodynamics

G. A. El'*, V. V. Khodorovsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Dispersive spreading of a localized solitonless initial perturbation in KdV hydrodynamics with a slight dispersion is investigated with the aid of Whitham's slow modulation method and the generalized hodograph transformation. An exact solution of the appropriate Gurevich-Pitaevsky problem is constructed and a comparison is made with the results of the inverse scattering problem method in the quasiclassical limit.

Original languageEnglish
Pages (from-to)49-52
Number of pages4
JournalPhysics Letters A
Volume182
Issue number1
DOIs
Publication statusPublished - 8 Nov 1993
Externally publishedYes

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