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<p>In this paper, we consider a nonlocal elliptic–hyperbolic system related to short pulse equation. That equation describes the dynamics of the electrical field of linearly polarized continuum spectrum pulses in optical waveguides, including fused-silica telecommunication-type or photonic-crystal fibers, as well as hollow capillaries filled with transparent gases or liquids. We augment the equations with some boundary conditions and prove the well-posedness of the global in time distributional solution.</p>

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On the solution for the initial-boundary value problem for a nonlocal elliptic–hyperbolic system related to the short pulse equation

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  • 发表日期：

    2025年6月5日

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  • Giuseppe Maria Coclite,
  • Lorenzo di Ruvo

摘要

In this paper, we consider a nonlocal elliptic–hyperbolic system related to short pulse equation. That equation describes the dynamics of the electrical field of linearly polarized continuum spectrum pulses in optical waveguides, including fused-silica telecommunication-type or photonic-crystal fibers, as well as hollow capillaries filled with transparent gases or liquids. We augment the equations with some boundary conditions and prove the well-posedness of the global in time distributional solution.