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Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg-De Vries equation

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posted on 2023-06-07, 19:50 authored by Konstantin BlyussKonstantin Blyuss
This paper considers the properties of nonlinear waves and solitons of Kortewegde Vries equation in the presence of external perturbation. For time-periodic hamiltonian perturbation the width of the stochastic layer is calculated. The conclusions about chaotic behaviour in long-period waves and solitons are inferred. Obtained theoretical results find experimental confirmation in experiments with the propagation of ion-acoustic waves in plasma.

History

Publication status

  • Published

ISSN

0034-4877

Issue

1-2

Volume

46

Page range

47-54

Presentation Type

  • paper

Event name

XXXIst Symposium on Mathematical Physics

Event location

Nicholas Copernicul University, Institute of Physics, Torun, Poland.

Event type

conference

Event date

19-21 May 1999

Department affiliated with

  • Mathematics Publications

Notes

Source: REPORTS ON MATHEMATICAL PHYSICS

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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