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

Bogdanov, L. V.; Konopelchenko, B. G.

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].

MSC:

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.)