广义Rosenau-Kawahara方程的有效谱方法  

An efficient spectral method for the generalized Rosenau-Kawahara equation

作　　者：文贤 王中庆 WEN Xian;WANG Zhongqing(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2024年第1期30-35,86,共7页Journal of University of Shanghai For Science and Technology

基　　金：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。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 

分 类 号：O241.82[理学—计算数学]