广义Rosenau-Kawahara方程的有效谱方法
An efficient spectral method for the generalized Rosenau-Kawahara equation
文贤 1王中庆1
作者信息
- 1. 上海理工大学 理学院,上海 200093
- 折叠
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.
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.
关键词
Legendre/dual-Petrov-Galerkin谱方法/广义Rosenau-Kawahara方程/孤立波/守恒律Key words
Legendre dual-Petrov-Galerkin spectral method/generalized Rosenau-Kawahara equation/solitary wave/conservation laws引用本文复制引用
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)
出版年
2024
NETL
NSTL
万方数据