High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrodinger-KdV equations

被引：3
|
作者：
He, Yuyu [1 ,2 ]
Wang, Xiaofeng [1 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen, Fujian, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2022年 / 28卷 / 07期
关键词：
CNLS-KdV equations; compact finite difference scheme; conservation; convergence; HOMOTOPY PERTURBATION METHOD; WELL-POSEDNESS; BOUND-STATES; EXISTENCE;
D O I：
10.1080/10236198.2022.2091439
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new high-order accurate compact finite difference scheme for the coupled nonlinear Schrodinger-KdV (CNLS-KdV) equations is proposed. Conservation of the discrete number of plasmon and the discrete number of particle are given in detail. Convergence with second-order in time and fourth-order in space of the present scheme are proved by using "cut-off" function technique and discrete energy method. Numerical experiments are given to support the theoretical analysis.
引用
收藏
页码：900 / 923
页数：24
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