The study of electromagnetic cusp solitons

Abstract

The formation of a cusp structure in the envelope of electromagnetic solitons for electron-ion plasma at the ion wave breaking point has been shown by Farina and Bulanov [Phys. Rev. Lett. 86, 5289 (2001)]. The analytical form of the cusp structure has been obtained here. The analytical form of the cusp is shown to compare well with the exact numerically obtained solutions. Such cusp solitons occurring at the ion wave breaking point may have relevance to ion acceleration mechanism. In an effort towards studying the dynamical stability of such structures, the time evolution studies have been carried out which show that the structure survives for several plasma periods. However, ultimately it breaks apart due to the instability associated with the forward Raman scattering.