@Article{CiCP-25-1127,
author = {Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia and Songhe Song},
title = {Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {4},
pages = {1127--1143},
abstract = {<p style="text-align: justify;">In this paper, we mainly propose two kinds of high-accuracy schemes for the
coupled nonlinear Schrödinger (CNLS) equations, based on the Fourier pseudospectral method (FPM), the high-order compact method (HOCM) and the Hamiltonian
boundary value methods (HBVMs). With periodic boundary conditions, the proposed
schemes admit the global energy conservation law and converge with even-order accuracy in time. Numerical results are presented to demonstrate the accuracy, energy-preserving and long-time numerical behaviors. Compared with symplectic Runge-Kutta methods (SRKMs), the proposed schemes are assuredly more effective to preserve energy, which is consistent with our theoretical analysis.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0212},
url = {http://global-sci.org/intro/article_detail/cicp/12893.html}
}