修正的Camassa-Holm 方程的Painlevé 性质及其精确解
PDF下载 (360)雷 娅.修正的Camassa-Holm 方程的Painlevé 性质及其精确解[J].宁波大学学报(理工版),2012,25(03):25-29.DOI:
LEI Ya.Painlevé Properties and Solution of Revised Camassa-Holm Equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(03):25-29.DOI:
| Title: | Painlevé Properties and Solution of Revised Camassa-Holm Equation |
| 作者: | 雷 娅 |
| Author(s): | LEI Ya |
| 关键词: | 修正的Camassa-Holm 方程; 标准截断展开; 非标准截断展开; 精确解 |
| Keywords: | revised Camassa-Holm equation; standard cut-expansion; non-standard cut-expansion; precise solution |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | Painlevé 展开法是求解非线性偏微分方程的最有效的方法之一, 主要利用Painlevé 标准截断展开和 非标准截断展开法及Maple 软件来求得修正的Camassa-Holm (mCH)方程的精确解. |
| Abstract: | Expansion of Painlevé is one of most effictive methods for solving non-linear partial differential equations. In this paper, using the Painlevé standard and non-standard cut-expansion as well as Maple softwar, the revised pricise solution of Camassa-Holm (mCH) is obtained. |
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| 备注/Memo: | Received date: 2012?04?04. JOURNAL OF NINGBO UNIVERSITY ( NSEE ): http://3xb.nbu.edu.cn Foundation items: Supported by the National Natural Science Foundation of China (10875078); Zhejiang Provincial Natural Science Foundation (Y7080455); . Wong K C Magna Fund in Ningbo University. Author’s biography: LEI Ya (1987?), female, Xinyang Henan, post of graduate student, research domain: mathematical physics. E-mail: ren_hi@126.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
