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arxiv: 0907.1053 · v1 · pith:V2OZ53XOnew · submitted 2009-07-06 · 🧮 math.AP · math-ph· math.MP

Near-linear dynamics in KdV with periodic boundary conditions

classification 🧮 math.AP math-phmath.MP
keywords boundaryconditionsperiodicassumptiondatadynamicsequationestablished
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Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is established under the assumption of high frequency initial data. This result is obtained by the method of normal form reduction.

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