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Uniform Formulas for the Asymptotic Solution near the Leading Front for Maxwell’s Equations with Temporal Dispersion and Localized Initial Data

  • S. Yu. Dobrokhotov,
  • A. A. Tolchennikov

摘要

Abstract

Maxwell’s equations with temporal dispersion and localized initial data are considered. Using the Maslov canonical operator, we construct a uniform asymptotic solution expressed in terms of the derivative of the Airy function of composite argument in a neighborhood of regular points of the leading wave front.