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In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data u0. The analytic initial data can be extended as holomorphic functions in a strip around the x-axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).

On the radius of spatial analyticity for the higher order nonlinear dispersive equation