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Zeitschrift für Analysis und ihre Anwendungen, 2024
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We consider the Cauchy problem for an equation of Korteweg–de Vries–Kawahara type with initial data in the analytic Gevrey spaces. By using linear, bilinear and trilinear estimates in analytic Bourgain spaces, we establish the local well-posedness of this problem. By using an approximate conservation law, we extend this to a global result in such a way that the radius of analyticity of solutions is uniformly bounded below by a fixed positive number for all time.