Classification of space-time edge catastrophes and uniform asymptotic solutions of the wave equations describing wave propagation in ionospheric plasma

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The classification and both necessary and sufficient conditions of formation of edge catastrophes with difficult caustic structures (as zero-modal, and uni-modal series) in space-time under condition of propagation of electromagnetic waves in plasma media with a strong frequency dispersion are given. The uniform asymptotic solutions of the wave equations in regions containing special functions of space-time wave catastrophes, corresponding to reference structures of electromagnetic fields are constructed.

Edge catastrophes, field, wave, frequency modulation, dispersion, uniform asymptotics, plasma, propagation, space-time

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IDR: 148160281

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