分数阶Klein-Gordon-Schr?dinger方程的保能量方法

被引：0
|
作者：
张利娟
孙建强
机构：
[1] 海南大学理学院
来源：
江西师范大学学报(自然科学版) | 2022年 / 46卷 / 03期
关键词：
平均向量场方法; 分数阶Klein-Gordon-Schr9dinger方程; 傅里叶拟谱方法; 能量守恒格式;
D O I：
10.16357/j.cnki.issn1000-5862.2022.03.07
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
摘要：
该文先将分数阶Klein-Gordon-Schr9dinger方程转化成辛结构的哈密尔顿系统，利用傅里叶拟谱方法对Riesz空间分数阶导数进行近似离散，得到分数阶Klein-Gordon-Schr9dinger方程有限维哈密尔顿系统；再利用2阶平均向量场方法对有限维哈密尔顿系统离散，得到分数阶Klein-Gordon-Schr9dinger方程新的保能量格式；最后利用新的保能量格式数值模拟方程孤立波的演化行为，并分析新格式的保能量守恒特性.
引用
收藏
页码：257 / 261
页数：5
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