Year: 2017
Author: Hao Fu, Weien Zhou, Xu Qian, Songhe Song
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1383–1403
Abstract
This paper introduces two novel conformal structure-preserving algorithms for solving the coupled damped nonlinear Schrödinger (CDNLS) system, which are based on the conformal multi-symplectic Hamiltonian formulation and its conformal conservation laws. The proposed algorithms can preserve corresponding conformal multi-symplectic conservation law and conformal momentum conservation law in any local time-space region, respectively. Moreover, it is further shown that the algorithms admit the conformal charge conservation law, and exactly preserve the dissipation rate of charge under appropriate boundary conditions. Numerical experiments are presented to demonstrate the conformal properties and effectiveness of the proposed algorithms during long-time numerical simulations and validate the analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2016-0164
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1383–1403
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Conformal conservation laws conformal structure-preserving algorithms coupled damped nonlinear Schrödinger system dissipation rate of charge.
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