The hyperelliptic ζ-function and the integrable massive Thirring model

J. C. Eilbeck, V. Z. Enolskii, H. Holden

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1581-1610
Number of pages30
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume459
Issue number2035
DOIs
Publication statusPublished - 8 Jul 2003

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Hyperelliptic Curves
Solitons
Korteweg-de Vries Equation
Odd
Model
Framework

Keywords

  • Hyperelliptic functions
  • Integrable systems
  • Massive Thirring model

Cite this

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The hyperelliptic ζ-function and the integrable massive Thirring model. / Eilbeck, J. C.; Enolskii, V. Z.; Holden, H.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 459, No. 2035, 08.07.2003, p. 1581-1610.

Research output: Contribution to journalArticle

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