%0 Journal Article %T Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello %A Yanqiu Guo %A Konrad Simon %A Edriss S. Titi %J Physics %D 2013 %I arXiv %X This paper addresses the problem of global well-posedness of a coupled system of Korteweg-de Vries equations, derived by Majda and Biello in the context of nonlinear resonant interaction of Rossby waves, in a periodic setting in homogeneous Sobolev spaces $\dot H^s$, for $s\geq 0$. Our approach is based on a successive time-averaging method developed by Babin, Ilyin and Titi [1]. %U http://arxiv.org/abs/1310.1130v1