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Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation

journal contribution
posted on 2023-06-07, 19:57 authored by Konstantin BlyussKonstantin Blyuss
Stationary wave solutions of the perturbed Korteweg-de Vries equation are considered in the presence of external hamiltonian perturbations. Conditions of their chaotic behaviour are studied with the help of the Melnikov theory. For the homoclinic chaos the Poincare sections are constructed to demonstrate the complicated behaviour, and the Lyapunov exponents are also numerically calculated.

History

Publication status

  • Published

Journal

Reports on Mathematical Physics

ISSN

0034-4877

Publisher

Elsevier

Issue

1

Volume

49

Page range

29-38

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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