On a 'Mysterious' Case of a Quadratic Hamiltonian

Abstract

We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painleve test for integrability.

arXiv commentPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Presented at the XIII Annual Seminar 'Nonlinear Phenomena in Complex Systems', May 16-19, 2006, Minsk, Belarus

References in corpus (4)

• Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
• Integrable quadratic Hamiltonians on so(4) and so(3,1)
• Integrable systems on $so(4)$ related with XXX spin chains with boundaries
• Coupled higher-order nonlinear Schroedinger equations: a new integrable case via the singularity analysis

Cited by in corpus (2)

• Integrable quadratic Hamiltonians on so(4) and so(3,1)
• Integrability of a generalized short pulse equation revisited