Dual 1490-11490-11490-1-problem, (2+1)-dimensional intergrable nonlinear evolution equations and their reductions
Abstract
For a compact description of integrable systems of partial derivative equations (PDE), with singular dispersion relations in (2+1)-dimensions, the dualbar partial -problem with arbitrary normalization is used. Symmetry reductions and the corresponding Lax representations are discussed. The singular KP-hierarchy, as well as the Schrödinger equation with a magnetic field, are considered as examples.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- December 1995
- DOI:
- 10.1007/BF02070869
- Bibcode:
- 1995TMP...105.1490Z