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Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation
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.
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Publication status
- Published
Journal
Reports on Mathematical PhysicsISSN
0034-4877Publisher
ElsevierExternal DOI
Issue
1Volume
49Page range
29-38Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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