Nonlinear Beltrami equation and tau-function for dispersionless hierarchies
arXiv:nlin/0310038 · doi:10.1016/j.physleta.2004.01.033
Abstract
It is proved that the action for nonlinear Beltrami equation (quasiclassical dbar-problem) evaluated on its solution gives a tau-function for dispersionless KP hierarchy. Infinitesimal transformations of tau-function corresponding to variations of dbar-data are found. Determinant equations for the function generating these transformations are derived. They represent a dispersionless analogue of singular manifold (Schwarzian) KP equations. Dispersionless 2DTL hierarchy is also considered.
12 pages
Cited by in corpus (5)
- Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
- Coisotropic deformations of associative algebras and dispersionless integrable hierarchies
- On the dbar-dressing method applicable to heavenly equation
- On the heavenly equation hierarchy and its reductions
- Towards the classification of integrable differential-difference equations in 2 + 1 dimensions