In this paper, we prove the well-posedness of a non-local elliptic–hyperbolic system related to the short pulse equation. It is a model which describes the evolution 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.
A non-local elliptic–hyperbolic system related to the short pulse equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 190:(2020). [10.1016/j.na.2019.111606]
A non-local elliptic–hyperbolic system related to the short pulse equation
Giuseppe Maria Coclite
;
2020-01-01
Abstract
In this paper, we prove the well-posedness of a non-local elliptic–hyperbolic system related to the short pulse equation. It is a model which describes the evolution 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.File in questo prodotto:
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