| 用试探函数法求Zakharov-Kuznetsov方程的孤子解 |
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| 引用本文： | 冯庆江,李岩,杨利垚.用试探函数法求Zakharov-Kuznetsov方程的孤子解[J].长春大学学报,2010,20(6):8-9,28. |
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| 作者姓名： | 冯庆江 李岩 杨利垚 |
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| 作者单位： | 长春师范学院数学学院,吉林长春130032 |
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| 摘 要： | 通过引入一个新的变换,然后采用试探函数法,将非线性偏微分方程化为代数方程,然后用待定系数法确定相应的常数,最后求出Zakharov-Kuznetsov方程的孤子解。
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| 关 键 词： | 组合Zakharov-Kuznetsov方程 试探函数法 孤子解 |
Searching for the soliton solution to Zakharov-Kuznetsov equation by means of trial function method |
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| FENG Qing-jiang,LI Yan,YANG Li-yao.Searching for the soliton solution to Zakharov-Kuznetsov equation by means of trial function method[J].Journal of Changchun University,2010,20(6):8-9,28. |
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| Authors: | FENG Qing-jiang LI Yan YANG Li-yao |
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| Institution: | FENG Qing-jiang,LI Yan,YANG Li-yao(College of Mathematics,Changchun Normal University,Changchun 130000,China) |
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| Abstract: | The nonlinear partial differential equation is converted into algebraic equation by introducing a new transformation and using trial function method,then undetermined coefficient method is used to determine corresponding constants.Finally,the soliton solution to Zakharov-Kuznetsov equation is obtained. |
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| Keywords: | combined Zakharov-Kuznetsov equation trial function method soliton solution |
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