| (2+1)维Konopelchenko-Dubrovsky方程新的多孤子解 |
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| 引用本文： | 叶彩儿,张卫国.(2+1)维Konopelchenko-Dubrovsky方程新的多孤子解[J].物理学报,2010,59(8):5229-5234. |
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| 作者姓名： | 叶彩儿 张卫国 |
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| 作者单位： | (1)上海理工大学 理学院,上海 200093; (2)上海理工大学 理学院,上海 200093; 浙江林学院 理学院,临安 311300 |
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| 基金项目： | 上海市重点学科项目(批准号:S30501),上海市自然科学基金(批准号:10ZR1420800)资助的课题. |
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| 摘 要： | 利用齐次平衡方法,将(2+1)维Konopelchenko-Dubrovsky方程转化为两个变量分离的线性偏微分方程,然后采用三种不同的函数假设,得到相应的常系数微分方程,通过求解特征方程,方便地构造出Konopelchenko-Dubrovsky方程新的多孤子解.
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| 关 键 词： | (2+1)维 Konopelchenko-Dubrovsky 方程 齐次平衡法 多孤子解 |
| 收稿时间： | 4/8/2009 12:00:00 AM |
New multisoliton solutions for (2+1) dimensional Konopelchenko-Dubrovsky equations |
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| Ye Cai-Er,Zhang Wei-Guo.New multisoliton solutions for (2+1) dimensional Konopelchenko-Dubrovsky equations[J].Acta Physica Sinica,2010,59(8):5229-5234. |
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| Authors: | Ye Cai-Er Zhang Wei-Guo |
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| Institution: | School of Science, University of Shanghai for Science and Technology, Shanghai 200093, China; College of Science, Zhejiang Forestry College, Zhejiang Lin'an 311300, China;School of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | In this paper, using the homogeneous balance method, the (2+1)dimensional Konopelchenko-Dubrovsky equations are converted into two variable-separated linear partial differential equations. for three different function assumptions, the constant coefficient differential equations are obtained, respectively. By solving the eigenequations, new multisoliton solutions of the KD equations are constructed conveniently. |
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| Keywords: | (2+1)dimensional Konopelchenko-Dubrovsky equations homogeneous balance method multisoliton solutions |
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