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

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

1999-04-06

arxiv.org/abs/patt-sol/9904001v3

Reports on Mathematical Physics, 2000, vol. 46, pp. 47-54

Nonlinear Sciences

Chaotic Dynamics

7 pages, LaTeX, 2 Postscript figures, submitted to Reports on Mathematical Physics

Scientific paper

10.1016/S0034-4877(01)80007-0

This paper considers properties of nonlinear waves and solitons of Korteweg-de 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.

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