Il Nuovo Cimento D

, Volume 14, Issue 8, pp 821–832 | Cite as

The perturbed Korteweg-de Vries equation: Evolution of solitons

  • N. Virgopia
  • F. Ferraioli


In this paper we examine the dynamic of solitons in the presence of external forces expressed by an-degree polynomial perturbative term or by a combination of polynomial and differential terms in the dependent variable. Under the action of these forces the soliton profile will no longer be a simple translation: asymptotic behaviour of the wave amplitude to threshold values (stationary equilibrium states) are now possible and “explosions” may occur at some finite “critical time” at which the soliton amplitude becomes infinite.

PACS 47.10

General theory 

PACS 47.35

Hydrodynamic waves 


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Copyright information

© Società Italiana di Fisica 1992

Authors and Affiliations

  • N. Virgopia
    • 1
  • F. Ferraioli
    • 1
  1. 1.Dipartimento di Matematica dell'Università di Roma «La Sapienza»RomaItalia

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