Published January 3, 2014
| Version Published + Submitted
Journal Article
Open
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Creators
Abstract
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E^(1)_6 symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form of the reduced equations to find rational and hypergeometric solutions of this discrete Painlevé equation.
Additional Information
© 2014 The author. The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. Received September 19, 2013, in final form December 28, 2013; Published online January 03, 2014. This research is supported by Australian Research Council Discovery Grant #DP110100077.Attached Files
Published - sigma14-002.pdf
Submitted - 1308.4233v2.pdf
Files
1308.4233v2.pdf
Additional details
Identifiers
- Eprint ID
- 45811
- Resolver ID
- CaltechAUTHORS:20140516-132702470
Related works
- Describes
- http://arxiv.org/abs/1308.4233 (URL)
Funding
- Australian Research Council
- DP110100077
Dates
- Created
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2014-05-16Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field