INVESTIGADORES
CONDAT Carlos Alberto
artículos
Título:
Korteweg - de Vries solitons under additive stochastic perturbations
Autor/es:
M. SCALERANDI; A. ROMANO; C.A. CONDAT
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
The American Physical Society
Referencias:
Año: 1998 vol. 58 p. 4166 - 4173
ISSN:
1063-651X
Resumen:
The evolution of solitonic solutions of the Kortewegde Vries equation subject to additive noise is investigated
using numerical techniques. Various types of additive white Gaussian noise are considered. The averaged
solution amplitudes exhibit in all cases algebraic decay, verifying Wadatis universality conjecture. If the
noise is time dependent, or position and time dependent, algebraic decay is obtained for intermediate times too.
These intermediate-time results agree well with the outcome of an experiment on ion-acoustic soliton propagation
in a noisy plasma. The distribution of soliton first passage times in a noisy medium is also discussed.