Abstract
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.
Original language | English |
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Pages (from-to) | 1581-1610 |
Number of pages | 30 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 459 |
Issue number | 2035 |
DOIs | |
Publication status | Published - 8 Jul 2003 |
Keywords
- Hyperelliptic functions
- Integrable systems
- Massive Thirring model