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