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The perturbed Korteweg-de Vries equation: Evolution of solitons

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Il Nuovo Cimento D

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Summary

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.

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Authors and Affiliations

  1. Dipartimento di Matematica dell'Università di Roma «La Sapienza», Roma, Italia

    N. Virgopia & F. Ferraioli

Authors
  1. N. Virgopia
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  2. F. Ferraioli
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Virgopia, N., Ferraioli, F. The perturbed Korteweg-de Vries equation: Evolution of solitons. Il Nuovo Cimento D 14, 821–832 (1992). https://doi.org/10.1007/BF02456686

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  • DOI: https://doi.org/10.1007/BF02456686

PACS 47.10

PACS 47.35

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