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Dispersionless version of the multicomponent KP hierarchy revisited

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arxiv 2404.10406 v1 pith:WEWHLZOU submitted 2024-04-16 nlin.SI math-phmath.MP

A.Zabrodin This is my paper · ORCID
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keywords dispersionlessequationshierarchymulticomponentthemtrigonometricversionacquire
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We revisit dispersionless version of the multicomponent KP hierarchy considered previously by Takasaki and Takebe. In contrast to their study, we do not fix any distinguished component treating all of them on equal footing. We obtain nonlinear equations for dispersionless tau-function (the F-function) and represent them using the trigonometric parametrization. In this trigonometric uniformization the equations considerably simplify and acquire a nice form.

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  1. Dispersionless modified DKP hierarchy as the Yang-Baxter equation

    nlin.SI 2026-07 accept novelty 8.0 of 10

    Dispersionless modified DKP hierarchy is equivalent to the Yang-Baxter equation for Baxter's elliptic R-matrix of Boltzmann weights for the 8-vertex model.

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