A Conservative Local Discontinuous Galerkin Method for the Schrödinger-KdV System  

作　　者：Yinhua Xia Yan Xu 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei,Anhui 230026,P.R.China

出　　处：《Communications in Computational Physics》2014年第4期1091-1107,共17页计算物理通讯（英文）

基　　金：supported by the NSFC projects No.11101400;Doctoral Fund of Ministry of Education of China No.20113402120015;SRF for ROCS SEM.Research of Y.Xu is supported by NSFC grant No.10971211,No.11031007,FANEDD No.200916,NCET No.09-0922;Fok Ying Tung Education Foundation No.131003.

摘　　要：In this paper we develop a conservative local discontinuous Galerkin(LDG)method for the Schrödinger-Korteweg-de Vries(Sch-KdV)system,which arises in various physical contexts as a model for the interaction of long and short nonlinear waves.Conservative quantities in the discrete version of the number of plasmons,energy of the oscillations and the number of particles are proved for the LDG scheme of the Sch-KdV system.Semi-implicit time discretization is adopted to relax the time step constraint from the high order spatial derivatives.Numerical results for accuracy tests of stationary traveling soliton,and the collision of solitons are shown.Numerical experiments illustrate the accuracy and capability of the method.

关 键 词：Schrödinger-KdV system the conservative local discontinuous Galerkin method semi-implicit time discretization conservative quantities 

分 类 号：O17[理学—数学]