Strongly Asymmetric Soliton Explosions

Abstract

Strongly asymmetric soliton explosions in dissipative systems modeled by the one-dimensional complex cubic-quintic Ginzburg-Landau equation was analyzed in numerical simulations. It was found that the explosions occured at one side of the soliton, in spite of the fact that the initial conditions and the equation itself were symmetric. It was also found that the side of the solitons where it occured alternates from one explosion to the next, so that the left and right-hand sides of the soliton explode successively. The results show that the soliton can have lateral instabilities with energy bursts shifting to the left or right in each explosion. Show more