Abstract—We present a theoretical study of nonlinear interactions between a short, intense laser-beam and a fully relativistic plasma channel containing hot electrons and positrons. We have obtained the governing equation for the evolution of the spot size with relativistic corrections. Also, the acceptable solutions of relativistic solitary waves have been predicted.

Index Terms—Laser-plasma interactions, Plasma channel, Solitary waves.

E. Heidari is with Department of Sciences, Bushehr Branch, Islamic Azad University, Bushehr, Iran (e-mail: ehphys75@ yahoo.com).
M. Aslaninejad is with Plasma Physics Research Centre, Science and Research Branch, Islanic Azad University, Tehran, Iran (e-mail: morteza@theory.ipm.ac.ir).

Cite: Ebrahim Heidari and Morteza Aslaninejad, "Solitary Waves of Ultra Intense Laser Pulses in a Fully Relativistic Plasma Channel," International Journal of Applied Physics and Mathematics  vol. 2, no. 4, pp. 301-303, 2012.