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| 具Hirota形式的Utt—Uxx＋V（u）=0型方程 | |
| 引用本文： | 曾云波. 具Hirota形式的Utt—Uxx＋V（u）=0型方程[J]. 中国科学技术大学学报, 1990, 20(4): 398-404 |
| 作者姓名： | 曾云波 |
| 作者单位： | 中国科技大学数学系 |
| 摘 要： | 本文证明了可以写成Hirota 形式的u_(?)-u_(?)+V(u)=0型方程只有两大类型.由此可以得到这两种类型的已知方程的Hirota 双线性方程组,并可验证其中有些方程没有二个孤立波解. |
| 关 键 词： | Hirota方法 双线性方程组 孤立波 |
The Equations (?)_(tt)-U_(xx)+V(u)=0 With Hirota Form |
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| Zeng Yunbo. The Equations (?)_(tt)-U_(xx)+V(u)=0 With Hirota Form[J]. Journal of University of Science and Technology of China, 1990, 20(4): 398-404 | |
| Authors: | Zeng Yunbo |
| Affiliation: | Department of Mathematics |
| Abstract: | It is shown that among the equations u_(?)-u_(?)+V(u)=0 for various func-tion V(u),there are only two kinds of the equations which can be written inHirota form.Subsequently,bilinear equations for these kinds of well-knownequations can be obtained,and some of these equations are examined not tohave two solitary wave solution. |
| Keywords: | Hirota's method bilinear equations soliton solitary wave Klein-Gordon equation. |
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