Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations
arXiv:2206.12942 · doi:10.4310/DPDE.2023.v20.n1.a4
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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