| (2+1)维ZK方程的多孤立波解 |
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| 引用本文： | 石玉仁,张娟,杨红娟.(2+1)维ZK方程的多孤立波解[J].西北师范大学学报,2011,47(1):30-33. |
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| 作者姓名： | 石玉仁 张娟 杨红娟 |
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| 作者单位： | 西北师范大学物理与电子工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(10575082); 教育部科学技术研究重点项目(209128); 西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-53) |
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| 摘 要： | 通过引入一个简单的线性变换,将(2+1)维Zakharov-Kuznetsor(ZK)方程化为一维Korteweg-de Vries(KdV)方程,然后利用KdV方程的多孤立波解得到了ZK方程的多孤立波解.结果表明,此时ZK方程的多孤立波为彼此平行的线孤子.
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| 关 键 词： | ZK方程 KdV方程 多孤立波解 |
Multi-solitary wave solutions of the (2+1)-dimensional ZK equation |
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| SHI Yu-ren,ZHANG Juan,YANG Hong-juan.Multi-solitary wave solutions of the (2+1)-dimensional ZK equation[J].Journal of Northwest Normal University Natural Science (Bimonthly),2011,47(1):30-33. |
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| Authors: | SHI Yu-ren ZHANG Juan YANG Hong-juan |
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| Institution: | SHI Yu-ren,ZHANG Juan,YANG Hong-juan(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | The(2+1)-dimensional Zakharov-Kuznetsor(ZK) equation is reduced to(1+1)-dimensional Korteweg-de Vries(KdV) equation via introducing a simple linear transformation.The multi-solitary wave solutions of the(2+1)-dimensonal ZK equation are derived.The results indicate that each of the solitary wave of ZK equation is line soliton and parallel with others. |
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| Keywords: | ZK equation KdV equation multi-solitary wave solution |
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