Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations

被引：5

作者：

Kong, Linghua ^{[1
,2
]}

Wu, Yexiang ^{[1
,2
]}

Liu, Zhiqiang ^{[1
,2
]}

Wang, Ping ^{[1
,2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China

[2] Jiangxi Prov Ctr Appl Math, Nanchang 330022, Jiangxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 154卷

关键词：

Triple-coupled nonlinear Schrodinger; equations; Crank-Nicolson scheme; Structure-preserving scheme; Conservation law; Convergence; SCHRODINGER-EQUATION; DIFFERENCE SCHEME; INTEGRATOR;

D O I：

10.1016/j.camwa.2023.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a finite difference scheme for the triple-coupled Schrodinger equations (T-CNLS) in optics. The T-CNLS is approximated by Crank-Nicolson scheme in time and finite difference method in space. Some mathematical characters are investigated, such as structure-preserving properties, unique solvability, convergence in ��infinity norm. Some numerical examples are reported to illustrate the theoretical results.

引用

页码：91 / 102

页数：12

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