| Explicit Solutions for Generalized （2＋1）-Dimensional Nonlinear Zakharov-Kuznetsov Equation |
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| 引用本文： | 孙峪怀,马志民,李燕.Explicit Solutions for Generalized （2＋1）-Dimensional Nonlinear Zakharov-Kuznetsov Equation[J].理论物理通讯,2010(9):397-400. |
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| 作者姓名： | 孙峪怀 马志民 李燕 |
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| 作者单位： | Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 10974160 |
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| 摘 要： | The exact solutions of the generalized （2＋1）-dimensional nonlinear Zakharov-Kuznetsov （Z-K） equation are explored by the method of the improved generalized auxiliary differential equation. Many explicit analytic solutions of the Z-K equation are obtained. The methods used to solve the Z-K equation can be employed in further work to establish new solutions for other nonlinear partial differential equations.
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| 关 键 词： | 非线性偏微分方程 广义差分 方程法 显式解 K方程 精确解 解析解 |
Explicit Solutions for Generalized （2＋1）-Dimensional Nonlinear Zakharov-Kuznetsov Equation |
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| SUN Yu-Huai,MA Zhi-Min,LI Yan.Explicit Solutions for Generalized （2＋1）-Dimensional Nonlinear Zakharov-Kuznetsov Equation[J].Communications in Theoretical Physics,2010(9):397-400. |
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| Authors: | SUN Yu-Huai MA Zhi-Min LI Yan |
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| Institution: | ( Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China) |
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| Abstract: | generalized nonlinear Zakharov-Kuznetsov equation, improved generalized auxiliary differentialequation and exact solutions |
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| Keywords: | generalized nonlinear Zakharov-Kuznetsov equation improved generalized auxiliary differentialequation and exact solutions |
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