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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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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:UNDER REVIEW

19 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
21 Mar 2020Assigned to Editor
21 Mar 2020Submission Checks Completed
04 Aug 2020Reviewer(s) Assigned