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

被引：2

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

页码：900 / 923

页数：24

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