具有幂律非线性的非线性薛定谔方程的局部结构保留算法

IF 4.3 3区 材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials Pub Date : 2024-08-12 DOI:10.1016/j.amc.2024.128986
Fangwen Luo, Qiong Tang, Yiting Huang, Yanhui Ding, Sijia Tang
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引用次数: 0

摘要

本文介绍了具有幂律非线性的一维非线性薛定谔方程的三种局部结构守恒算法,包括两种局部能量守恒算法和一种局部动量守恒算法。此外,我们还扩展了这些局部守恒算法,以实现周期性边界条件下的全局守恒。理论分析证实了这些算法的守恒特性。在数值实验中,我们通过将这些算法与多折射普赖斯曼算法进行比较,验证了这些算法在保持长期能量或动量守恒方面的优势。
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Local structure-preserving algorithms for the nonlinear Schrödinger equation with power law nonlinearity

This paper introduces three local structure-preserving algorithms for the one-dimensional nonlinear Schrödinger equation with power law nonlinearity, comprising two local energy-conserving algorithms and one local momentum-conserving algorithm. Additionally, we extend these local conservation algorithms to achieve global conservation under periodic boundary conditions. Theoretical analyses confirm the conservation properties of these algorithms. In numerical experiments, we validate the advantages of these algorithms in maintaining long-term energy or momentum conservation by comparing them with a multi-symplectic Preissman algorithm.

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CiteScore
7.20
自引率
4.30%
发文量
567
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