  We study a new hierarchy of equations containing the Short Pulse equation,
which describes the evolution of very short pulses in nonlinear media, and the
Elastic Beam equation, which describes nonlinear transverse oscillations of
elastic beams under tension. We show that the hierarchy of equations is
integrable. We obtain the two compatible Hamiltonian structures. We construct
an infinite series of both local and nonlocal conserved charges. A Lax
description is presented for both systems. For the Elastic Beam equations we
also obtain a nonstandard Lax representation.
