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Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies

L. V. Bogdanov·B. G. Konopelchenko·L. Martinez Alonso
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Abstract

The quasi-classical $\bar{\partial}$-dressing method is used to derive compact generating equations for dispersionless hierarchies. Dispersionless Kadomtsev-Petviashvili (KP) and two-dimensional Toda lattice (2DTL) hierarchies are considered as illustrative examples.

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L. V. Bogdanov, B. G. Konopelchenko, L. Martinez Alonso. 2001-11-28. Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies. https://arxiv.org/abs/nlin/0111062

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