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Solving coupled nonlinear Schrödinger equations via a direct discontinuous Galerkin method
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作者 张荣培 蔚喜军 冯涛 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第3期10-14,共页
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... 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. 展开更多
关键词 direct discontinuous Galerkin method coupled nonlinear schrdinger equation mass conservation
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Equal-Time and Equal-Space Poisson Brackets of the N-Component Coupled NLS Equation
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作者 周汝光 李佩瑶 高媛 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第4期347-349,共3页
Two Poisson brackets for the N-component coupled nonlinear Schrdinger(NLS) equation are derived by using the variantional principle. The first one is called the equal-time Poisson bracket which does not depend on time... Two Poisson brackets for the N-component coupled nonlinear Schrdinger(NLS) equation are derived by using the variantional principle. The first one is called the equal-time Poisson bracket which does not depend on time but only on the space variable. Actually it is just the usual one describing the time evolution of system in the traditional theory of integrable Hamiltonian systems. The second one is equal-space and new. It is shown that the spatial part of Lax pair with respect to the equal-time Poisson bracket and temporal part of Lax pair with respect to the equal-space Poisson bracket share the same r-matrix formulation. These properties are similar to that of the NLS equation. 展开更多
关键词 integrable system the N-component coupled nonlinear schrdinger equation equal-time Poisson bracket equal-space Poisson bracket r-matrix
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