Abstract
We demonstrate, through the fourth Painlevé and the modified KdV equations, that the attempt at linearizing the mirror systems (more precisely, the equation satisfied by the new variable θ introduced in the indicial normalization) near movable poles can naturally lead to the Schlesinger transformations of ordinary differential equations or to the Bäcklund transformations of partial differential equations. Copyright © 2002 by T L Yee.
| Original language | English |
|---|---|
| Pages (from-to) | 234-242 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 9 |
| Issue number | sup1 |
| DOIs | |
| Publication status | Published - 2002 |