Efficient schemes for the coupled Schrodinger-KdV equations: Decoupled and conserving three invariants

被引：10
|
作者：
Cai, Jiaxiang [1 ]
Bai, Chuanzhi [1 ]
Zhang, Haihui [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 86卷
关键词：
Schrodinger-KdV equation; Decoupled scheme; Hamiltonian system; Discrete gradient method; Structure-preserving algorithm;
D O I：
10.1016/j.aml.2018.06.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a systematic method for discretizing Hamiltonian partial differential equations. An application of the method to the Hamiltonian form of the coupled Schrodinger-KdV equations yields a temporal first-order conservative scheme. Temporal second- and fourth-order schemes are developed by employing the composition method. All the schemes are decoupled and exactly conserve three invariants simultaneously. Numerical results show good performance of the schemes and verify the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：200 / 207
页数：8
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