Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-01-05
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Latex file, 7 pages, to appear in Physics Letter A
Scientific paper
10.1016/j.physleta.2006.01.009
We prove the integrability of the short pulse equation derived recently by
Sch\"afer and Wayne from a hamiltonian point of view. We give its
bi-hamiltonian structure and show how the recursion operator defined by the
hamiltonian operators is connected with the one obtained by Sakovich and
Sakovich. An alternative zero-curvature formulation is also given.
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