(3 + 1)维幂律3 Zakharov-Kuznetsov方程的行波解——兼论幂律n  

Travelling Wave Solutions of a (3+1) Dimensional Zakharov-Kuznetsov Equation with Power Law 3—On Power Law n

作　　者：王双特 于恒国 刘环艺 戴文周 

机构地区：[1]乐清市柳市镇第三中学,浙江 温州 [2]温州大学数理学院,浙江 温州

出　　处：《应用数学进展》2023年第4期2020-2034,共15页Advances in Applied Mathematics

摘　　要：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。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.

关 键 词：ZAKHAROV-KUZNETSOV方程 平衡点 行波解 幂律 

分 类 号：TM7[电气工程—电力系统及自动化]