Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-10-27
Nonlinear Sciences
Exactly Solvable and Integrable Systems
12 pages
Scientific paper
10.1016/j.physleta.2004.01.033
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.
Bogdanov L. V.
Konopelchenko Boris. G.
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