Applications of Nijenhuis geometry IV: Multicomponent KdV and Camassa–Holm equations
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
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.
Topics & Concepts
Integrable systemKorteweg–de Vries equationMathematicsSeries (stratigraphy)Camassa–Holm equationConstruct (python library)Pure mathematicsMathematical analysisApplied mathematicsPhysicsComputer scienceGeologyNonlinear systemPaleontologyQuantum mechanicsProgramming languageNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsMolecular spectroscopy and chirality