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arxiv: 1404.3125 · v1 · pith:KWD2R5TEnew · submitted 2014-04-11 · 🧮 math.AP

KAM for autonomous quasi-linear perturbations of KdV

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keywords autonomousperturbationsquasi-linearamplitudecantorexistencefamilieshamiltonian
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We prove the existence and stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear (i.e. strongly nonlinear) autonomous Hamiltonian perturbations of KdV.

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