On classical solutions for the fifth order short pulse equation
AbstractThe 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.