A cubic Hamiltonian system with meromorphic solutions
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A Hamiltonian system in two dependent variables is presented with properties analogous to the Hamiltonian systems associated with the six Painlevé equations. Its solutions are meromorphic functions in the complex plane having only simple poles with three possible residues given by the third roots of unity. Like the Painlevé equations PI - PVI the system has families of rational solutions that can be obtained by applying Bäcklund transformations to certain seed solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 307-317 |
| Journal | Computational Methods and Function Theory |
| Volume | 16 |
| Issue number | 2 |
| Early online date | 27 Oct 2015 |
| DOIs | |
| Publication status | Published - Jun 2016 |
Documents
- cmft15060
Rights statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s40315-015-0147-6.
Accepted author manuscript (Post-print), 262 KB, PDF document
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