Local Well-posedness of the Coupled KdV-KdV Systems on $\mathbb{R}$

Xin Yang, Bing-Yu Zhang

Inspired by the recent successful completion of the study of the well-posedness theory for the Cauchy problem of the Korteweg-de Vries (KdV) equation \[ u_t +uu_x +u_{xxx}=0, \quad…