| 扰动Vakhnenko方程物理模型的行波解 |
| |
| 引用本文： | 莫嘉琪.扰动Vakhnenko方程物理模型的行波解[J].物理学报,2011,60(9):90203-090203. |
| |
| 作者姓名： | 莫嘉琪 |
| |
| 作者单位： | 安徽师范大学数学系,芜湖 241003;上海高校计算科学E-研究院SJTU研究所,上海 200240 |
| |
| 基金项目： | 国家自然科学基金(批准号:40876010), 中国科学院知识创新工程重要方向项目(批准号:KZCX2-YW-Q03-08), 公益性行业科研专项(批准号:GYHY200806010), LASG国家重点实验室专项经费, 上海市教育委员会E-研究院建设计划项目(批准号:E03004),浙江省自然科学基金(批准号:Y6110502)和安徽高校省级自然科学研究项目(批准号:KJ2011A135)资助的课题. |
| |
| 摘 要： | 研究了一类扰动Vakhnemko方程.给出了改进的渐近方法.首先, 对原模型系统对应的典型方程得到对应的行波解.其次, 引入一个泛函, 建立迭代关系式,将求解非线性问题转化为求解一系列的迭代序列.然后, 逐次地求出对应的解的近似式, 最后,得到了原扰动Vakhnemko模型行波解的任意次精度的近似展开式,并讨论了它的精度.
关键词：
泛函
行波解
Vakhnemko方程
|
| 关 键 词： | 泛函 行波解 Vakhnemko方程 |
| 收稿时间： | 2010-11-14 |
Travelling wave solution of disturbed Vakhnenko equation for physical model |
| |
| Mo Jia-Qi.Travelling wave solution of disturbed Vakhnenko equation for physical model[J].Acta Physica Sinica,2011,60(9):90203-090203. |
| |
| Authors: | Mo Jia-Qi |
| |
| Institution: | Department of Mathematics, Anhui Normal University, Wuhu 241003, China;Institute of Medical Imaging Technology, University of Shanghai Science and Technology, Shanghai 200093, China;Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240,China |
| |
| Abstract: | A kind of disturbed Vakhnemko equation is considered. The modified asymptotic method is given. Firstly, we obtain corresponding traveling wave solution of the typical Vakhnemko equation. Secondly, introducing a functional, constructing the iteration expansion of solution, the nonlinear equation is converted into a set of iteration sequence. And then, the corresponding approximations of solution are solved successively. Finally, the approximate expansion for arbitrary order accuracy of the travelling wave solution for the original disturbed Vakhnemko model is obtained and its accuracy is discussed. |
| |
| Keywords: | functional travelling solution Vakhnemko equation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
|
