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

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

2002-06-13

arxiv.org/abs/nlin/0206019v1

Reports on Mathematical Physics, vol. 49, pp. 29-38, 2002

Nonlinear Sciences

Chaotic Dynamics

10 pages, 8 figures

Scientific paper

10.1016/S0034-4877(02)80003-9

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 Melnikov theory. For the
homoclinic chaos Poincar\'e sections are constructed to demonstrate the
complicated behaviour, and Lyapunov exponents are also numerically calculated.

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