Abstract
The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980).
| Original language | English |
|---|---|
| Pages (from-to) | 1877-1884 |
| Number of pages | 8 |
| Journal | Journal of physics A: mathematical and general |
| Volume | 23 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 1990 |