On classical solutions for the fifth-order short pulse equation

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.

Automated summary

The paper discusses the fifth-order short pulse equation modeling the nonlinear propagation of optical pulses, particularly circularly and elliptically polarized few-cycle solitons in a Kerr medium, and proves the well-posedness of classical solutions for the associated Cauchy problem.