5 papers
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…
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…
On the Radius of Analyticity for a Korteweg-de Vries-Kawahara Equation with a Weakly Damping Term
Aissa Boukarou, Daniel Oliveira da Silva
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…
Spatial analyticity of solutions for a coupled system of generalized KdV equations
A. Atmani, A. Boukarou, D. Benterki +1
The solution of a coupled system consisting of generalized Korteweg-de Vries-type equations is obtained for all time where the initial data are analytic on a band in the complex pl…
Global Well-Posedness for the Fifth-Order Kadomtsev-Petviashvili II Equation in Anisotropic Gevrey Spaces
Aissa Boukarou, Daniel Oliveira da Silva, Kaddour Guerbati +1
We show that the fifth-order Kadomtsev-Petviashvili II equation is globally well-posed in an anisotropic Gevrey space, which complements earlier results on the well-posedness of th…