| Zakharov—Kuznetsov（ZK）可积非线性发展方程的分叉及精确行波解 |
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| 引用本文： | 闫芳,刘海鸿. Zakharov—Kuznetsov（ZK）可积非线性发展方程的分叉及精确行波解[J]. 云南师范大学学报(自然科学版), 2009, 29(4): 31-34 |
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| 作者姓名： | 闫芳 刘海鸿 |
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| 作者单位： | 云南师范大学数学学院,云南,昆明,650092 |
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| 摘 要： | 用平面动力系统方法研究了Zakharov—Kuzlletsov（ZK）可积非线性发展方程的分叉及精确行波解，获得了该方程的一些孤立波解和周期波解的精确参数表达式，以及上述解存在的参数条件．
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| 关 键 词： | 可积Zakharov—Kuznetsov方程 分叉 孤立波解 周期波解 |
The Bifurcation and Exact Traveling Wave Solution for an Integrable Nonlinear Evolution Equations Given by Zakharov-Kuznetsov (ZK) |
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| YAN Fang,LIU Hai-hong. The Bifurcation and Exact Traveling Wave Solution for an Integrable Nonlinear Evolution Equations Given by Zakharov-Kuznetsov (ZK)[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2009, 29(4): 31-34 |
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| Authors: | YAN Fang LIU Hai-hong |
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| Affiliation: | ( Mathematics institudte of Yunnan normal university, Kunming 650092,China) |
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| Abstract: | By using the method of dynamical systems, this paper researches the bifurcation and the exact traveling wave solutions for an integrable nonlinear evolution equation given by Zakharov - Kuznetsov （ZK）. Exact explicit parametric representations of some solitary wave solutions and periodic wave solutions, as well as the parameters conditions of the above - mentioned solutions existed are given. |
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| Keywords: | integrable equation given by zakharov - kuznetsov bifurcation solitary wave solution periodic wave solution nonlinear evolution equation |
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