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
MW2: Perturbative techniques for integrable systems
Coordinator: Eugene Ferapontov (Loughborough University)
A useful point of view is to consider various classes of integrable equations as higher order perturbations of "simpler", or lower order equations. This includes such techniques as
- the theory of degenerate dispersion laws, which is a basis of the perturbative symmetry approach;
- dispersive deformations of equations of hydrodynamic type;
- the method of normal forms and asymptotic integrability, etc.
The aim of this mini-workshop is to review the current state of the art in this field.
Review lecture:
| Boris Dubrovin | Perturbative techniques for integrable systems. |
| [abstract] [presentation (PDF 2.9Mb)] |
Communications:
| Boris Konopelchenko | Singular sector of Benney hierarchy and moduli of degenerate critical points |
| [abstract] | |
| A. Moro and V.S. Novikov | Soliton equations in 2+1 dimensions: deformations of dispersionless limits |
| [abstract] [pres. Moro (PDF 123K)] [pres. Novikov (PDF 70K)] | |
| Jing Ping Wang | Symbolic representation and classification of integrable systems |
| [abstract] [presentation (PDF 68K)] | |
| Youjin Zhang | On a class of generalized Hamiltonian structures and their reciprocal transformations |
| [abstract] [presentation (PDF 361K)] |