Spatial analyticity of solutions for a coupled system of generalized KdV equations
Analysis of PDEs
2022-02-04 v2
Abstract
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 plane. We show that the width of this band decreases algebraically with time.
Keywords
Cite
@article{arxiv.2201.12864,
title = {Spatial analyticity of solutions for a coupled system of generalized KdV equations},
author = {A. Atmani and A. Boukarou and D. Benterki and Kh. Zennir},
journal= {arXiv preprint arXiv:2201.12864},
year = {2022}
}