Abstract
A generalization of determinant formulae for the classical solutions of Painlevé XXXIV and Painlevé II equations are constructed using the technique of Darboux transformation and Hirota's bilinear formalism. It is shown that the solutions admit determinant formulae even for the transcendental case.
| Original language | English |
|---|---|
| Pages (from-to) | 3763-3778 |
| Number of pages | 16 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 32 |
| Issue number | 20 |
| DOIs | |
| Publication status | Published - May 21 1999 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)