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

Published 26 Jun 2022 in nlin.SI, math-ph, math.DG, and math.MP | (2206.12942v2)

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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