Solving coupled nonlinear Schrodinger equations via a direct discontinuous Galerkin method |
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| Authors: | Zhang Rong-Pei a Yu Xi-Jun b and Feng Tao |
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| Affiliation: | b) a) School of Sciences,Liaoning Shihua University,Fushun 113001,China b) Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China |
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| Abstract: | In this work,we present the direct discontinuous Galerkin(DDG) method for the one-dimensional coupled nonlinear Schrdinger(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. |
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| Keywords: | direct discontinuous Galerkin method coupled nonlinear Schr6dinger equation massconservation |
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