We discuss the formation of typical (structurally stable) singularities in nonlinear wave breaking in stable and unstable media. The wake wave-break due to the inhomogeneity of the Langmuir frequency is accompanied by electron injection into the acceleration phase. In a wake wave excited behind a finite width laser pulse, the wave-breaking mechanism involves the increase, with the distance behind the pulse, of the curvature of the wake front, followed by the self-intersection of the electron trajectories. In the long wavelength limit, the Weibel instability which leads to the generation of a strong magnetic field, the relativistic self focusing and the Rayleigh-Taylor instability of a thin plasma slab provide examples of a common behavior with the rarefaction wave-breaking in unstable media. We present a solution of the Cauchy problem that describes the evolution of nonlinear perturbations of the Rayleigh-Taylor instability in terms of analytical functions of a complex variable. (C) 1998 Elsevier Science B.V. All rights reserved.
|Autori interni:||PEGORARO, FRANCESCO|
|Autori:||Bulanov S; Pegoraro F; Sakai J|
|Titolo:||Variety of nonlinear wave-breaking|
|Anno del prodotto:||1998|
|Digital Object Identifier (DOI):||10.1016/S0168-9002(98)00155-7|
|Appare nelle tipologie:||1.1 Articolo in rivista|