3 papers
math.AP2022
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…
math.AP2022
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…
math.AP2020
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…