In this paper, we consider a non-local 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.
On the solution for the initial-boundary value problem for a nonlocal elliptic–hyperbolic system related to the short pulse equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: ADVANCES IN CONTINUOUS AND DISCRETE MODELS. - ISSN 2731-4235. - STAMPA. - 2025:1(2025), pp. 1-37. [10.1186/s13662-025-03963-3]
On the solution for the initial-boundary value problem for a nonlocal elliptic–hyperbolic system related to the short pulse equation
Coclite, Giuseppe Maria
;
2025
Abstract
In this paper, we consider a non-local 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
