The bi-Hamiltonian structure of the short pulse equation
By J. C. Brunelli. 2006
164 citations recorded by the source corpus.
We prove the integrability of the short pulse equation derived recently by Schafer 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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9b7e874bb06b07ed011ea0b142c423bbc9d87be2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Complex short pulse and coupled complex short pulse equations (2013, background): “onlinear optics, the SP equation has also been derived as an integrable differential equation associated with pseudospherical surfaces [11]. The SP equation has been shown to be completely integrable [11, 12, 13, 14, 15]. The periodic and soliton solutions of the SP equation were found in [16, 17, 1”