Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity
arXiv:2006.03808 · doi:10.1007/s00028-020-00630-w
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.