title: Manifestation of Hamiltonian monodromy in nonlinear wave systems.
abstract: We show that the concept of dynamical monodromy plays a natural fundamental role in the spatiotemporal dynamics of counterpropagating nonlinear wave systems. By means of an adiabatic change of the boundary conditions imposed to the wave system, we show that Hamiltonian monodromy manifests itself through the spontaneous formation of a topological phase singularity (2π- or π-phase defect) in the nonlinear waves. This manifestation of dynamical Hamiltonian monodromy is illustrated by generic nonlinear wave models. In particular, we predict that its measurement can be realized in a direct way in the framework of a nonlinear optics experiment.
authors.affiliation: Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 5209 CNRS-Université de Bourgogne, 9 Av. A. Savary, BP 47 870, F-21078 DIJON Cedex, France.
authors.forename: E
authors.initials: E
authors.lastname: Assémat
authors.forename: C
authors.initials: C
authors.lastname: Michel
authors.forename: A
authors.initials: A
authors.lastname: Picozzi
authors.forename: H R
authors.initials: HR
authors.lastname: Jauslin
authors.forename: D
authors.initials: D
authors.lastname: Sugny