loading page

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

Peer review status:POSTED

19 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
21 Mar 2020Assigned to Editor
21 Mar 2020Submission Checks Completed

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.