| Tzitz6ica方程的Baicklund变换和显式精确解 |
| |
| 引用本文： | 彭小明,尚亚东.Tzitz6ica方程的Baicklund变换和显式精确解[J].广州大学学报(综合版),2013(6):9-14. |
| |
| 作者姓名： | 彭小明 尚亚东 |
| |
| 作者单位： | [1]广州大学数学与信息科学学院,广东广州510006 [2]广州大学广东省教育厅数学与交叉科学重点实验室,广东广州510006 |
| |
| 基金项目： | 国家自然科学基金资助项目（40890150,40890153） |
| |
| 摘 要： | Baicklund变换是求解非线性偏微分方程的一：仲有效方法，文章应用扩展的齐次平衡法得到了Tzitz6ica方程Mxt=peu-qe-2u“的一种Backlund变换和精确解，尤其得到了Tzitz6ica方程，Dodd—Bullough—Mikhailov方程和TzitzNca—Dodd—Bullough方程的精确解．
|
| 关 键 词： | 扩展齐次平衡法 Baicklund变换 精确解 Tzitz6ica方程 Dodd—Bullough—Mikhailov方程 Tzitz6ica— Dodd—Bullough方程 |
Baicklund transformation and explicit exact solutions for Tzitzeica equations |
| |
| PENG Xiao-ming,SHANG Ya-dong.Baicklund transformation and explicit exact solutions for Tzitzeica equations[J].Journal of Guangzhou University,2013(6):9-14. |
| |
| Authors: | PENG Xiao-ming SHANG Ya-dong |
| |
| Institution: | ( a. School of Mathematics and Information Sciences ; b. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, China) |
| |
| Abstract: | Baicklund transformation is a powerful method for solving nonlinear partial differential equation. In this paper, the extended homogeneous balance method is applied for constructing the Baicklund transformation of the Tzitz6ica type equations. And the Baicklund transformation is employed to generate new solutions from the old, especially exact solution of the Tzitzfiica equation, Dodd-Bullough-Mikhailov equation, and Tzitzeica-Dodd- Bullough equation are obtained. |
| |
| Keywords: | extended homogeneous balance method Backlund transformation exact solution Tzitzeica equa-tion Dodd-Bullough-Mikhailov equation Tzitz6ica-Dodd-Bullough equation |
| 本文献已被 维普 等数据库收录！ |
