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arXiv · 2006.03808

Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity

Yuexun Wang
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Abstract

We prove global existence and modified scattering for the solutions of the generalized fifth-order KdV equation with critical nonlinearity for small and localized initial data. The proof is undergoing by using the space-time resonance method and the stationary phase argument.

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Yuexun Wang. 2020-06-06. Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity. https://doi.org/10.1007/s00028-020-00630-w

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