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

共 50 条

[1] HIGH ORDER COMPACT MULTISYMPLECTIC SCHEME FOR COUPLED NONLINEAR SCHRODINGER-KDV EQUATIONS
Wang, Lan
Wang, Yushun
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 36 (04) : 591 - 604
[2] A conservative compact finite difference scheme for the coupled Schrodinger-KdV equations
Xie, Shusen
Yi, Su-Cheol
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 46 (01)
[3] Efficient schemes for the coupled Schrodinger-KdV equations: Decoupled and conserving three invariants
Cai, Jiaxiang
Bai, Chuanzhi
Zhang, Haihui
[J]. APPLIED MATHEMATICS LETTERS, 2018, 86 : 200 - 207
[4] A new high-order accurate conservative finite difference scheme for the coupled nonlinear Schrodinger equations
He, Yuyu
Wang, Xiaofeng
Dai, Weizhong
Deng, Yaqing
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021,
[5] A Pade compact high-order finite volume scheme for nonlinear Schrodinger equations
Gao, Wei
Li, Hong
Liu, Yang
Wei, XiaoXi
[J]. APPLIED NUMERICAL MATHEMATICS, 2014, 85 : 115 - 127
[6] The Conservative Splitting High-Order Compact Finite Difference Scheme for Two-Dimensional Schrodinger Equations
Wang, Bo
Liang, Dong
Sun, Tongjun
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (01)
[7] The finite element method for the coupled Schrodinger-KdV equations
Bai, Dongmei
Zhang, Luming
[J]. PHYSICS LETTERS A, 2009, 373 (26) : 2237 - 2244
[8] Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrodinger equations
Chen, Juan
Chen, Fangqi
[J]. APPLIED NUMERICAL MATHEMATICS, 2019, 143 : 133 - 145
[9] A DIFFERENCE SCHEME FOR A CLASS OF NONLINEAR SCHRODINGER-EQUATIONS OF HIGH-ORDER
CHAO, HY
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1987, 5 (03) : 272 - 280
[10] On the compact difference scheme for the two-dimensional coupled nonlinear Schrodinger equations
Rahmeni, Mohamed
Omrani, Khaled
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (01) : 65 - 89

← 1 2 3 4 5 →