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On dbar-problem and integrable equations

B. G. Konopelchenko
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Abstract

Using the dbar-problem and dual dbar-problem, we derive bilinear relations which allows us to construct integrable hierarchies in different parametrizations, their Darboux-Bäcklund transformations and to analyze constraints for them ina very simple way. Scalar KP, BKP and CKP hierarchies are considered as examples.

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B. G. Konopelchenko. 2000-02-25. On dbar-problem and integrable equations. https://arxiv.org/abs/nlin/0002049

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