Schwarzian KP is recast as an integral bilinear equation on pairs of KP tau-functions, yielding Harry Dym via Lax-Sato and an embedding into multi-component KP.
Zabrodin, Classical facets of quantum integrability , to be published in Proceed- ings of Beijing Summer Workshop in Mathematics and Mathematical Ph ysics, 2024
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Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.
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Bilinear formalism for Schwarzian KP and Harry Dym hierarchies
Schwarzian KP is recast as an integral bilinear equation on pairs of KP tau-functions, yielding Harry Dym via Lax-Sato and an embedding into multi-component KP.
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Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies
Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.