Abstract

The soliton equations, related to the generalized Zakharov-Shabat system for the semisimple Lie algebra ɡ are considered. The dressing Zakharov-Shabat factor is constructed explicitly for any irrep V(ω) of ɡ, and a V(ω)-independent expression for the soliton solutions is obtained. The involutivity of the local conserved quantities is proved, using the classical r -matrix approach.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call