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arXiv · 2206.12942

Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations

Alexey V. Bolsinov·Andrey Yu. Konyaev·Vladimir S. Matveev
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Abstract

We construct a new series of multicomponent integrable PDE systems that contain as particular example (with appropriately chosen parameters) many famous integrable systems including KdV, coupled KdV, Harry Dym, coupled Harry Dym, Camassa-Holm, multicomponent Camassa-Holm, Kaup-Boussinesq systems. The series contains also integrable systems with no low-component analogues.

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Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev. 2022-06-26. Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations. https://doi.org/10.4310/dpde.2023.v20.n1.a4

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