(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
DOI: 10.12677/AAM.2023.124206, PDF,   
作者: 王双特, 戴文周：乐清市柳市镇第三中学，浙江 温州；于恒国, 刘环艺：温州大学数理学院，浙江 温州
关键词: Zakharov-Kuznetsov方程；平衡点；行波解；幂律；Zakharov-Kuznetsov Equation； Equilibrium； Travelling Wave Solution； Power Law
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。
Abstract: 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.
文章引用：王双特, 于恒国, 刘环艺, 戴文周. (3 + 1)维幂律3 Zakharov-Kuznetsov方程的行波解——兼论幂律n[J]. 应用数学进展, 2023, 12(4): 2020-2034. https://doi.org/10.12677/AAM.2023.124206

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