(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Ankiewicz, Adrian; Bandelow, Uwe; Akhmediev, Nail
We derive the new infinite Sasa-Satsuma hierarchy of evolution
equations using an invariant densities approach. Being significantly simpler
than the Lax-pair technique, this approach does not involve ponderous 3 x3
matrices. Moreover, it allows us to explicitly obtain operators of many
orders involved in the time evolution of the Sasa-Satsuma hierarchy
functionals. All these operators are parts of a generalized Sasa-Satsuma
equation of infinitely high order. They enter this equation with independent
arbitrary real coefficients that govern the evolution pattern of this
multi-parameter dynamical system.
