@article{Amir2025, 
author = {Malika Amir and Aissa Boukarou and Safa M. Mirgani and M'hamed Kesri and Khaled Zennir and Mdi Begum Jeelani},
title = {Well-posedness for a coupled system of gKdV equations in analytic spaces},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {7},
pages = {4119-4134},
keywords = {nonlinear equations, gKdV system, local well-posedness, energy and industry, analytic spaces},
url = {https://www.sciopen.com/article/10.3934/era.2025184},
doi = {10.3934/era.2025184},
abstract = {In this article, a Cauchy problem for a coupled system of the generalized Korteweg-de Vries equations (gKdV) is considered. In the periodic case, it is shown that the system is locally well-posed in a large class of analytic functions and conditions for which weak solutions extend holomorphically in a symmetric strip of the complex plane around the    x-axis at large times. In addition, the uniform analyticity radius of the solution does not change as time progresses. Also, information about the regularity of the solution in the time variable is obtained.}
}