Giuseppe Maria Coclite, Lorenzo Di Ruvo, "Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation," WSEAS Transactions on Mathematics, vol. 23, pp. 775-790, 2024, DOI:10.37394/23206.2024.23.81
Giuseppe Maria Coclite, Lorenzo Di Ruvo. Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation.
WSEAS Transactions on Mathematics. 2024;23:775-790. 10.37394/23206.2024.23.81
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation
Authors: ,
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.
Keywords:
Existence. Short pulse equation. Non-local formulation. Hyperbolc-elliptic system. Discontinuous
Pages: 775-790 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #81 DOI: 10.37394/23206.2024.23.81
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