Abstract
Rational solutions for the Painlevé IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinants of the Hermite polynomials, or by a special case of the Schur polynomials.
| Original language | English |
|---|---|
| Pages (from-to) | 2431-2446 |
| Number of pages | 16 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 31 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - Mar 13 1998 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)