%0 Journal Article
%T (3 + 1)维幂律3 Zakharov-Kuznetsov方程的行波解——兼论幂律n<br>Travelling Wave Solutions of a (3+1) Dimensional Zakharov-Kuznetsov Equation with Power Law 3—On Power Law n
%A 王双特
%A 于恒国
%A 刘环艺
%A 戴文周
%J Advances in Applied Mathematics
%P 2020-2034
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124206
%X 借助于平面动力系统理论，定性分析了非线性(3 + 1)维幂律3 Zakharov-Kuznetsov方程的行波解，同时给出了行波解的分类及近似解计算方法。结合相关文献，整体上讨论了幂律为n时Zakharov-Kuznetsov方程的行波解，由此推广了本文及相应文献中的结果。<br />
With the aid of the theory of planar dynamical system, it has qualitatively analysis travelling wave solutions of a nonlinear (3 + 1) dimensional Zakharov-Kuznetsov equation with power law 3. The classification and approximate calculation methods of travelling wave solutions are also derived. Combining corresponding literature, in general, travelling wave solutions the of Zakharov-Kuz- netsov equation with power law n are discussed. Therefore, it extends outcomes in this paper and corresponding literature.
%K Zakharov-Kuznetsov方程，平衡点，行波解，幂律<br>Zakharov-Kuznetsov Equation
%K Equilibrium
%K Travelling Wave Solution
%K Power Law
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64874