Theory of soliton transition from lower to higher dimension

Publisher Website
Google Scholar
Abstract
Recently Frycz and Infeld performed a numerical calculation that yielded a stage-by-stage picture of a spontaneous transition from flat to an array of cylindrical solitons [Phys. Rev. Lett. 63, 384 (1989)]. The model used was the Zakharov-Kuznetsov equation for solitons in plasmas permeated by very strong magnetic fields. Subsequently, similar calculations were performed for another equation, that of Hasegawa and Mima [Su, Horton, Morrison, and Pavlenko (unpublished)]. In this Brief Report we look at some calculations that endeavor to explain both the collapse of a flat soliton, leading to cylindrical entities, and also the collapse of cylindrical solitons when instabilities along the axes are allowed. Saturation is found in some cases but not in others.

This publication has 7 references indexed in Scilit: