England, M. and Gibbons, J. (2009) A genus six cyclic tetragonal reduction of the Benney equations. Journal of Physics A: Mathematical and Theoretical, 42(37), p. 375202. (doi: 10.1088/1751-8113/42/37/375202)
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Abstract
A reduction of Benney’s equations is constructed corresponding to Schwartz–Christoffel maps associated with a family of genus six cyclic tetragonal curves. The mapping function, a second kind Abelian integral on the associated Riemann surface, is constructed explicitly as a rational expression in derivatives of the Kleinian σ-function of the curve.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | England, Dr Matthew |
| Authors: | England, M., and Gibbons, J. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and Theoretical |
| Journal Abbr.: | J. Phys. A: Math. Theor. |
| Publisher: | Institute of Physics |
| ISSN: | 1751-8113 |
| ISSN (Online): | 1751-8121 |
| Published Online: | 25 August 2009 |
| Copyright Holders: | Copyright © 2009 Institute of Physics |
| First Published: | First published in Journal of Physics A: Mathematical and Theoretical 42(37):375202 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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