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.
Kadanoff, Exact solutions for the Saffman-Taylor problem with surface tension, Phys
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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.