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EN
The propagation of relativistic electron-cyclotron waves in a hot plasma channel with a parabolic density profile is discussed. Analytical calculations are performed to find the governing equation for the evolution of the pulse spot size including the effects of relativistic self-focusing, ponderomotive self-channeling and preformed channel focusing. Also, by analyzing the equation of the pulse spot size, the existence of some solitary wave solutions is predicted numerically.
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