Hu, Yue; Deng, Ji’en; Tang, Gang The existential and uniqueness of solution for Zakharov-Kuznetsov equation. (English) Zbl 0969.35115 Chin. Q. J. Math. 13, No. 4, 70-76 (1998). Summary: We consider the existence and uniqueness of a solution in \(H^s\) \((s> 2)\) to the Cauchy problem of the Zakharov-Kuznetsov equation \[ u_t+ u_{xxx}+ u_{xyy}+ uu_x= 0 \] to the Cauchy problem in \(H^s\) \((s>2)\). MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:Cauchy problem; existence; uniqueness; regularity; Zakharov-Kuznetsov equation PDFBibTeX XMLCite \textit{Y. Hu} et al., Chin. Q. J. Math. 13, No. 4, 70--76 (1998; Zbl 0969.35115)