We provide a treatment of algebro-geometric solutions of the classical massive Thirring system in the framework of the Weierstrass-Klein theory of hyperelliptic functions. We show that the equations of this model generate the characteristic relations of hyperelliptic theory of even hyperelliptic curves, the same role that the Korteweg-de Vries (KdV) equation plays for odd hyperelliptic curves. We also consider the soliton limit of the solution obtained and derive the Kuznetsov-Mikhailov soliton as the limit.
|Number of pages||30|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Publication status||Published - 8 Jul 2003|
- Hyperelliptic functions
- Integrable systems
- Massive Thirring model