Abstract
The propagation of an extremely short optical pulse is analyzed based on a numerical solution of the Maxwell`s equation related to the dilaton field in a flat space-time. The dynamics of the pulse turned out to be unstable and the pulse collapses. The influence of the parameter α of the Lagrangian is analyzed for the cases of the Einstein-Maxwell scalar theory, low-energy action of string theory, Kaluza-Klein field equations obtained from dimensional reduction of Einstein’s five-dimensional theory.
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