Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg - de Vries equation
arXiv:patt-sol/9904001 · doi:10.1016/S0034-4877(01)80007-0
Abstract
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.
arXiv comment7 pages, LaTeX, 2 Postscript figures, submitted to Reports on Mathematical Physics