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. 775-790. [10.37394/23206.2024.23.81]

Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation

Coclite, Giuseppe Maria
;
2024-01-01

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.
2024
https://wseas.com/journals/mathematics/2024/b645106-041(2024).pdf
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. 775-790. [10.37394/23206.2024.23.81]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/279920
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