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math.AP2025
On the Gevrey regularity of the fifth-order Kadomtsev-Petviashvili-II equation: An improved approach
Aissa Boukarou, Lamia Seghour
In this paper, we improve and extend the results obtained by Boukarou et al. \cite{boukarou1} on the Gevrey regularity of solutions to a fifth-order Kadomtsev-Petviashvili-II equat…
math.AP2025
A Coupled Generalized Korteweg-de Vries System Driven by White Noise
Aissa Boukarou
In this paper, we investigate the Cauchy problem for the coupled generalized Korteweg-de Vries system driven by white noise. We prove local well-posedness for data in $ H^{s} \time…