Mini-workshops
- Mini-Workshop 1: Orthogonal polynomials, random matrix theory and integrable systems
- Mini-Workshop 2: Perturbative techniques for integrable systems
- Mini-Workshop 3: Integrable models of optical solitons
- Mini-Workshop 4: Discrete integrable systems and Yang-Baxter maps
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. |
| [abstract] [presentation (PDF 2.7Mb)] |
Communications:
| Gino Biondini | Solitons, boundary value problems and a nonlinear method of images |
| [abstract] [presentation (PDF 1Mb)] | |
| M. Lakshmahnan | Multisoliton solutions and energy sharing collisions in coupled nonlinear Schroedinger equations with focusing, defocusing and mixed type nonlinearities |
| [abstract] [presentation (PDF 5.7Mb)] | |
| Stefano Trillo | Spatial dispersive shock waves in nonlinear optics |
| [abstract] [presentation (PDF 6.5Mb)] [movie 1 (MOV 1.8Mb)] [movie 2 (AVI 26Mb)] [movie 3 (AVI 26Mb)] | |
| Stefan Wabnitz | Integrable cross-polarization interactions in optical fibers |
| [abstract] [presentation (PPT 2.5Mb)] |