| 一类广义扰动KdV-Burgers方程的同伦近似解 |
| |
| 引用本文： | 洪宝剑,卢殿臣.一类广义扰动KdV-Burgers方程的同伦近似解[J].物理学报,2013,62(17):170202-170202. |
| |
| 作者姓名： | 洪宝剑 卢殿臣 |
| |
| 作者单位： | 1. 江苏大学理学院, 镇江 212013;2. 南京工程学院数理部, 南京 211167 |
| |
| 基金项目： | 国家自然科学基金，江苏省六大人才高峰杰出个人基金，江苏省研究生培养创新工程基金，南京工程学院创新基金( |
| |
| 摘 要： | 通过构造一个同伦映射, 研究了一类广义扰动KdV-Burgers方程. 在引入典型无扰动任意次广义KdV-Burgers方程扭状孤立波解的基础上, 研究了扰动方程的具有任意精度的近似解,指出了近似解级数的收敛性, 最后利用不动点定理,进一步说明近似解的有效性,并对精度进行了讨论.
关键词：
广义扰动KdV-Burgers方程
同伦映射
渐近方法
近似解
|
| 关 键 词： | 广义扰动KdV-Burgers方程 同伦映射 渐近方法 近似解 |
| 收稿时间： | 2013-04-05 |
Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation |
| |
| Hong Bao-Jian
,
Lu Dian-Chen.Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation[J].Acta Physica Sinica,2013,62(17):170202-170202. |
| |
| Authors: | Hong Bao-Jian Lu Dian-Chen |
| |
| Abstract: | A class of generalized disturbed KdV-Burgers equation is studied by constructing a homotopy mapping. Based on the kinked solitary-wave solution of the corresponding typical undisturbed generalized KdV-Burgers equation with nonlinear terms of any order,the approximate solution with arbitrary degree of accuracy for the disturbed equation is researched. It is pointed out that the series of approximate solution is convergent. Finally,the efficiency and accuracy of the approximate solutions is also discussed by using the fixed point theorem.
Keywords：
generalized disturbed KdV-Burgers equation
homotopy mapping
asymptotic method
approximate solution |
| |
| Keywords: | generalized disturbed KdV-Burgers equation homotopy mapping asymptotic method approximate solution |
| 本文献已被 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 |
