Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schr odinger System

查看全文 作　　者：Hao [1]Fu;Weien [1]Zhou;Xu [1]Qian;Songhe [1,2]Song 机构地区：[1]Department of Mathematics and Systems Science,National University of Defense Technology,Changsha,Hunan 410072,China;[2]State Key Laboratory of High Performance Computing,National University of Defense Technology,Changsha,Hunan 410073,China 出　　处：《Advances in Applied Mathematics and Mechanics》索引2017年第9卷第6期,共21页 基　　金：This work was supported by the National Natural Science Foundation of China(Grant Nos.11501570,91530106 and 11571366);Research Fund ofNUDT(Grant No.JC15-02-02);the fund from HPCL. 摘　　要：This paper introduces two novel conformal structure-preserving algorithms for solving the coupled damped nonlinear Schr¨odinger(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 lawand conformalmomentum conservation lawin 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. 关 键 词：Conformal conservation laws conformal structure-preserving algorithms coupled damped nonlinear Schr¨odinger system dissipation rate of charge