The propagation of ultra-short light pulses in silica optical fibers is modeled by the short pulse equation. We introduce a nonlocal regularization of the problem and study the existence of solutions in a class of possibly discontinuous functions.
Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation / Coclite, Giuseppe Maria; Di Ruvo, Lorenzo. - In: WSEAS TRANSACTIONS ON MATHEMATICS. - ISSN 1109-2769. - STAMPA. - 23:(2024), pp. 81.775-81.790. [10.37394/23206.2024.23.81]
Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation
Coclite, Giuseppe Maria
;
2024
Abstract
The propagation of ultra-short light pulses in silica optical fibers is modeled by the short pulse equation. We introduce a nonlocal regularization of the problem and study the existence of solutions in a class of possibly discontinuous functions.File in questo prodotto:
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