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

Rational Lax hierarchies for dispersive systems

Abstract:
The method of constructions of field and lattice soliton systems from rational Lax operators is presented. Rational Lax operators belongs to the noncommutative Lie algebras, which are star-deformed commutative algebras of meromorphic Lax functions.