Self-similar shock wave solutions of the nonlinear Maxwell equations

Barna, Imre Ferenc (2014) Self-similar shock wave solutions of the nonlinear Maxwell equations. LASER PHYSICS, 24 (8). ISSN 1054-660X

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Abstract

In our study we consider non-linear, power-law field-dependent electrical permittivity and mag- netic permeability and investigate the time-dependent Maxwell equations with the self-similar Ansatz. This is a first-order hyperbolic PDE system which can conserve non-continuous initial conditions describing electromagnetic shock. Such phenomena may happen in complex materials induced by the planned powerful Extreme Light Infrastructure(ELI) laser pulses.

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