Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions

  title={Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions},
  author={Christian Klein and Svetlana Roudenko and Nikola M. Stoilov},
  journal={Journal of Nonlinear Science},
We present a detailed numerical study of solutions to the (generalized) Zakharov–Kuznetsov equation in two spatial dimensions with various power nonlinearities. In the L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{2}$$\end{document}-subcritical case, numerical evidence is presented for the stability of… 

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  • Differential Equations 31(6),
  • 1995