%0 Journal Article
%T Solving coupled nonlinear Schr dinger equations via a direct discontinuous Galerkin method<br>
%A Zhang Rong-Pei
%A Yu Xi-Jun
%A Feng Tao
%A <br>
%J 中国物理 B
%D 2012
%I 
%X In this work, we present the direct discontinuous Galerkin (DDG) method for the one-dimensional coupled nonlinear Schr dinger (CNLS) equation. We prove that the new discontinuous Galerkin method preserves the discrete mass conservations corresponding to the properties of the CNLS system. The ordinary differential equations obtained by the DDG space discretization is solved via a third-order stabilized Runge-Kutta method. Numerical experiments show that the new DDG scheme gives stable and less diffusive results and has excellent long-time numerical behaviors for the CNLS equations.
%K direct discontinuous Galerkin method
%K coupled nonlinear Schr
%K dinger equation
%K mass conservation<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=8DDEB85749F7F52943BDAD249464AEB0&yid=99E9153A83D4CB11&vid=659D3B06EBF534A7&iid=38B194292C032A66&sid=D9E7D8AC1AB62D6C&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=19