Linear operators with self-consistent coefficients and rational reductions of KP hierarchy
Abstract
A new general type of reductions of the hierarchy of Kadomtsev-Petviashvili equation is established. These reductions are equivalent to the Lax equations for pseudo-differential operators of the form L1-1L2, where L1, L2 are ordinary differential operators with coefficients that are functions of variables t1 = x, t2, …. It is shown that besides the KP hierarchy they are invariant with respect to the “rational” symmetries as well.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- October 1995
- DOI:
- 10.1016/0167-2789(95)00146-U
- Bibcode:
- 1995PhyD...87...14K