Mini-workshops



MW3: Integrable models of optical solitons


Coordinator: Antonio Degasperis (Universita di Roma "La Sapienza")

Systems of PDEs which model nonlinear wave propagation in optics play a particularly interesting role if they are both relevant to experiments and integrable. The second property (integrability) gives such models a very special status because of our capability of solving important problems such as, among others, construction of analytic soliton solutions, soliton interactions, stability, asymptotic states, conservation laws, parametric control. The aim of this miniworkshop is to bring together scientists working on both mathematical and experimental aspects of optical solitons.


Review lecture:

Antonio Degasperis        Integrable models in nonlinear optics and soliton solutions

Communications:

Gino Biondini Solitons, boundary value problems and a nonlinear method of images
M. Lakshmahnan Multisoliton solutions and energy sharing collisions in coupled nonlinear Schroedinger equations with focusing, defocusing and mixed type nonlinearities
Stefano Trillo Spatial dispersive shock waves in nonlinear optics
Stefan WabnitzIntegrable cross-polarization interactions in optical fibers