| 扩展的双曲函数法和Zakharov方程组的新精确孤立波解 |
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| 引用本文： | 黄定江,张鸿庆.扩展的双曲函数法和Zakharov方程组的新精确孤立波解[J].物理学报,2004,53(8):2434-2438. |
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| 作者姓名： | 黄定江 张鸿庆 |
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| 作者单位： | 大连理工大学应用数学系,大连,116024 |
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| 基金项目： | Project supported by the State Key Development Program for Basic Research of China (Grant No.G1998030600) and the National Natural Science Foundation of China(Grant No.10072013). |
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| 摘 要： | 借助于符号计算软件Maple，利用扩展的双曲函数法求出了Zakharov方程组的精确孤立波解，包括钟状孤立波解、扭结状孤立波解、包络孤立波解、奇性孤立波解和一种新的形式的孤立波解.这种方法也适用于其他非线性波方程.
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| 关 键 词： | 扩展的双曲函数法 Zakharov方程组 孤立波解 精确解 |
| 文章编号： | 1000-3290/2004/53(08)/2434-05 |
| 收稿时间： | 2003-10-27 |
Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations |
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| Huang Ding-Jiang and Zhang Hong-Qing.Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations[J].Acta Physica Sinica,2004,53(8):2434-2438. |
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| Authors: | Huang Ding-Jiang and Zhang Hong-Qing |
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| Abstract: | With the aid of symbolic computation system Maple and by using the extended hyperbolic function method, the exact solitary wave solutions of Zakharov equations are obtained which include bell-shaped soliton solutions, kink-shaped soliton solutions, envelop soliton solutions, singular soliton solutions and a new type of soliton solutions. The method can be also used to solve other nonlinear wave equations. |
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| Keywords: | extended hyperbolic function method Zakharov equations solitary wave solutions exact solutions |
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