Modulational and filamentational instabilities of two electromagnetic pulses in a radiation background

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The nonlinear interaction, due to quantum electrodynamical (QED) effects, between two electromagnetic pulses and a radiation gas is investigated. It is found that the governing equations admit both modulational and filamentational instabilities. The instability growth rates are derived, and the results are discussed.
7 pages, version to appear in New J. Phys

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