2+1维Burgers方程的B?cklund变换及其严格解
PDF下载 (556)金 艳,贾 曼.2+1维Burgers方程的B?cklund变换及其严格解[J].宁波大学学报(理工版),2013,26(03):77-79.DOI:
JIN Yan,JIA Man.B?cklund Transformations and Exact Solutions of the (2+1)-dimensional Burgers Equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(03):77-79.DOI:
| Title: | B?cklund Transformations and Exact Solutions of the (2+1)-dimensional Burgers Equation |
| 作者: | 金 艳, 贾 曼 |
| Author(s): | JIN Yan, JIA Man |
| 关键词: | Burgers方程; 截断Painlevé分析; 自B?cklund变换; 新严格解; truncated Painlevé expansion |
| Keywords: | Burgers equation; auto B?cklund transformation; new exact sloutions |
| 分类号: | O415 |
| 文献标识码: | A |
| 摘要: | 2+1维Burgers方程是非线性物理中的一个重要模型. 利用截断Painlevé分析方法, 建立了一个自B?cklund变换定理, 求得了大量的新的严格解. |
| Abstract: | We discuss the (2+1)-dimensional Burgers equation which is considered as an important model in nonlinear physics. Using the truncated Painlevé expansion, an auto B?cklund transformation of the (2+1)- dimensional Burgers equation is derived, and then a number of new exact solutions are obtained. |
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| 备注/Memo: | 收稿日期: 2013?04?27. 基金项目: 国家自然科学基金（11205092）.第一作者: 金 艳（1975－）, 女, 浙江宁波人, 硕士, 主要研究方向: 非线性物理. E-mail: jinyanspecial@hotmail.com *通信作者: 贾 曼（1979－）, 女, 河北遵化人, 博士/讲师, 主要研究方向: 孤子理论和可积系统. E-mail: jiaman@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
