Continuous, lattice and \(q\)-difference integrable systems and their transformation properties via \(\overline \partial\)-dressing method. (English) Zbl 0941.37551

Alfinito, E. (ed.) et al., Nonlinear physics: theory and experiment. Nature, structure and properties of nonlinear phenomena. Proceedings of the workshop, Lecce, Italy, June 29-July 7, 1995. Singapore: World Scientific. 29-36 (1996).
For the entire collection see [Zbl 0941.00008].


37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q53 KdV equations (Korteweg-de Vries equations)
39A12 Discrete version of topics in analysis
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)