Blazej SZABLIKOWSKI
Institute of Physics, A. Mickiewicz University,
Umultowska 85, 61-614 Poznan, POLAND
E-mail: bszablik@amu.edu.pl

From dispersionless to soliton systems via Weyl-Moyal like deformations

Abstract:
The formalism of quantization deformation is reviewed and the Weyl-Moyal like deformation case is applied to the systematic construction of soliton and lattice field integrable systems from Poisson algebras of dispersionless systems.