| (2+1)维Zakharov-Kuznetsov方程的Theta周期波解 |
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| 引用本文： | 李玉红,王鸿章,刁群.(2+1)维Zakharov-Kuznetsov方程的Theta周期波解[J].河南师范大学学报(自然科学版),2012,40(6):19-22. |
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| 作者姓名： | 李玉红 王鸿章 刁群 |
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| 作者单位： | 1. 河南财经政法大学数学与信息科学系,郑州,450002
2. 平顶山学院数学与信息科学院,河南平顶山,467000 |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金，河南省基础与前沿项目 |
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| 摘 要： | 给出椭圆方程的一组Theta周期波解,结合它的一个Backlund变换,得到这个椭圆方程的无穷序列Theta函数周期波解,最后利用这个椭圆方程作为辅助方程,借助于计算机符号计算软件Mathematica,得到了(2+1)维Zakharov-Kuznetsov方程的无穷序列Theta函数周期波解.
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| 关 键 词： | (2+1)维Zakharov-Kuznetsov方程 Backlund变换 Theta函数周期波解 |
Theta Periodic Wave Solutions to (2+ 1)-dimensional Zakharov-Kuznetsov Equation |
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| LI Yu-hong
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WANG Hong-zhang
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DIAO Qun.Theta Periodic Wave Solutions to (2+ 1)-dimensional Zakharov-Kuznetsov Equation[J].Journal of Henan Normal University(Natural Science),2012,40(6):19-22. |
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| Authors: | LI Yu-hong WANG Hong-zhang DIAO Qun |
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| Institution: | 1.Department of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450002,China; 2.College of Mathematics and Information Science,Pingdingshan University,Pingdingshan 467000,China) |
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| Abstract: | Based on some theta periodic wave solutions to a elliptical equation,together with its Backlund transformation,infinite sequences theta periodic wave solutions are derived;then regarding this elliptical equation as an auxiliary equation,with the help of computer software Mathematica,infinite sequences theta periodic wave solutions to(2+1)-dimensional Zakharov-Kuznetsov equation are obtained. |
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| Keywords: | (2+1)-dimensional Zakharov-Kuznetsov equation Backlund transformation Theta periodic wave solutions |
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