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On classical solutions for the fifth order short pulse equation
  • Giuseppe Coclite,
  • Lorenzo di Ruvo
Giuseppe Coclite
Politecnico di Bari
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Lorenzo di Ruvo
Universita degli Studi di Bari Aldo Moro
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Abstract

The fifth order short pulse equation models the nonlinear propagation of optical pulses of a few oscillations duration in dielectric media. In particular, it models the propagation of circularly and elliptically polarized few-cycle solitons in a Kerr medium. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with this equation.

Peer review status:ACCEPTED

19 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
21 Mar 2020Submission Checks Completed
21 Mar 2020Assigned to Editor
04 Aug 2020Reviewer(s) Assigned
22 Jan 2021Review(s) Completed, Editorial Evaluation Pending
01 Feb 2021Editorial Decision: Revise Minor
02 Feb 20211st Revision Received
03 Feb 2021Submission Checks Completed
03 Feb 2021Assigned to Editor
03 Feb 2021Editorial Decision: Accept