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Semiclassical $$\bar \partial $$ -Method: Generating Equations for Dispersionless Integrable Hierarchies
Authors:Bogdanov  L V  Konopelchenko  B G  Martínez Alonso  L
Institution:(1) Landau Institute for Theoretical Physics, RAS, Moscow, Russia;(2) Dipartimento di Fisica, Universit\`a degli Studi di Lecce, Lecce, Italy;(3) Sezione di Lecce, Istituto Nazionale di Fisica Nucleare, Lecce, Italy;(4) Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain
Abstract:We use the semiclassical 
$$\bar \partial $$
-dressing method to derive compact generating equations for dispersionless hierarchies. The considered illustrative examples are the dispersionless Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies.
Keywords:semiclassical limit   
gif" alt="   $$\bar \partial $$   " target="_blank">" align="middle" border="0">  method  tau-function" target="_blank">gif" alt="tau" align="BASELINE" BORDER="0">-function
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