The Bi-Hamiltonian Structure of the Short Pulse Equation

Abstract

We prove the integrability of the short pulse equation derived recently by Schäfer 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.

Latex file, 7 pages, to appear in Physics Letter A

References in corpus (1)

• The short pulse equation is integrable

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