| Benjamin Ono方程的一些解析解 |
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| 引用本文： | 翁建平.Benjamin Ono方程的一些解析解[J].云南师范大学学报(自然科学版),2007,27(4):49-53. |
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| 作者姓名： | 翁建平 |
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| 作者单位： | 丽水学院物理系,浙江,丽水,323000 |
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| 摘 要： | 采用一种新型方法获得了Benjamin Ono方程的一些精确解析解，该方法的关键是使用齐次平衡思想和规则地混合指数函数构建试探解。对Benjamln方程，这种方法也被证明是有效的。
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| 关 键 词： | 非线性偏微分方程 Benjamin Ono方程 Benjamin方程 行波解 指数试探解 |
| 文章编号： | 1007-9793（2007）04-0053-05 |
| 修稿时间： | 2007-12-05 |
SOME ANALYTICAL SOLUTIONS OF THE BENJAMIN-ONO EQUATION |
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| Jian-ping Weng.SOME ANALYTICAL SOLUTIONS OF THE BENJAMIN-ONO EQUATION[J].Journal of Yunnan Normal University (Natural Sciences Edition),2007,27(4):49-53. |
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| Authors: | Jian-ping Weng |
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| Institution: | Department of Physics, Lishui College, Lishui, Zhijiang, 323000, P. R. China |
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| Abstract: | By using a new trial technique which key are con - structing a trial solution by mixing the exponen- tial function regularly and using the idea of homogeneous balance, sane of accurate analytical solutions of the Benjamin- Ono equation can be gotten. It is also successfully shown that this method is adaptable for the Boussinesq equation too. |
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| Keywords: | nonlinear partial differential equations Benjamin -One equation Boussinesq equation travelling solution the exponential- fraction trial solution |
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