| 广义Rosenau-Kawahara方程的有效谱方法 |
| |
| 引用本文： | 文贤,王中庆. 广义Rosenau-Kawahara方程的有效谱方法[J]. 上海理工大学学报, 2024, 46(1): 30-35,86 |
| |
| 作者姓名： | 文贤 王中庆 |
| |
| 作者单位： | 上海理工大学 理学院,上海 200093 |
| |
| 基金项目： | 国家自然科学基金资助项目（12071294）;上海市自然科学基金资助项目（22ZR1443800） |
| |
| 摘 要： | 针对广义Rosenau-Kawahara方程提出了Legendre dual-Petrov-Galerkin谱方法,并基于对角化技巧,构建了快速有效算法。在此基础上研究了单个孤立波的传播、守恒律及波的生成等物理现象。数值结果验证了所提算法的有效性。
|
| 关 键 词： | Legendre dual-Petrov-Galerkin谱方法 广义Rosenau-Kawahara方程 孤立波 守恒律 |
| 收稿时间： | 2022-08-05 |
An efficient spectral method for the generalized Rosenau-Kawahara equation |
| |
| WEN Xian,WANG Zhongqing. An efficient spectral method for the generalized Rosenau-Kawahara equation[J]. Journal of University of Shanghai For Science and Technology, 2024, 46(1): 30-35,86 |
| |
| Authors: | WEN Xian WANG Zhongqing |
| |
| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | The Legendre dual-Petrov-Galerkin spectral method was proposed to the generalized Rosenau-Kawahara equation. A fast and efficient algorithm was constructed based on the diagonalization technique. The motion of single solitary wave solution, conservation laws and the phenomena of wave generation were also studied. Numerical results illustrate the effectiveness of the suggested approach. |
| |
| Keywords: | Legendre dual-Petrov-Galerkin spectral method generalized Rosenau-Kawahara equation solitary wave conservation laws |
|
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
|
点击此处可从《上海理工大学学报》下载全文 |
