176 citations · 602 across the 34 of their papers we have counts for
34 papers
Super Extensions of the Short Pulse Equation
J. C. Brunelli
From a super extension of the Wadati, Konno and Ichikawa scheme for integrable systems and using a valued connection 1-form we obtain super generalizations for…
Hamiltonian Integrability of Two-Component Short Pulse Equations
J. C. Brunelli, S. Sakovich
We obtain the bi-Hamiltonian structure for some of the two-component short pulse equations proposed in the literature to generalize the original short pulse equation when polarized…
On integrability of the Yao-Zeng two-component short-pulse equation
Jose Carlos Brunelli, Sergei Sakovich
We show how the Yao-Zeng system of coupled short-pulse equations is related to the original short-pulse equation and obtain the correct zero-curvature representation of the Yao-Zen…
Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion
Jose Carlos Brunelli
We provide a geometrical interpretation for the series of transformations used by Sakovich to map the third-order nonlinear evolution equation obtained by Chou and Qu to the mKdV e…
Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation
Jose Carlos Brunelli, Sergei Sakovich
We obtain a bi-Hamiltonian formulation for the Ostrovsky-Vakhnenko equation using its higher order symmetry and a new transformation to the Caudrey-Dodd-Gibbon-Sawada-Kotera equati…
The Short Pulse Hierarchy
Jose Carlos Brunelli
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, whi…