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

中文翻译：

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具有五次非线性的广义五阶KdV方程的全局动力学

我们证明了对于存在少量局部数据的具有五次非线性的广义五阶KdV方程解的整体存在性和散射性。证明使用时空共振方法和平稳相位参数。