We study the spherical quantum pseudodots in the Schr6dinger equation by using the pseudo-harmonic plus harmonic oscillator potentials considering the effect of the external electric and magnetic fields. The finite en...
Project supported by the National Natural Science Foundation of China(Grant No.11171208);the Natural Science Foundation of Zhejiang Province,China(Grant No.LY15A020007);the Natural Science Foundation of Ningbo City(Grant No.2014A610028);the K.C.Wong Magna Fund in Ningbo University,China
By employing the improved moving least-square (IMLS) approximation, the improved element-free Galerkin (IEFG) method is presented for the unsteady Schrodinger equation. In the IEFG method, the two-dimensional (2D...
supported by the National Natural Science Foundation of China(Grant No.11401259);the Fundamental Research Funds for the Central Universities,China(Grant No.JUSRR11407)
In this paper, we propose a variational integrator for nonlinear Schrodinger equations with variable coefficients. It is shown that our variational integrator is naturally multi-symplectic. The discrete multi-symplect...
Project supported by the National Natural Science Foundation of China(Grant No.91130013);the Open Foundation of State Key Laboratory of High Performance Computing
In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled Schrtidinger-KdV equations (CS'KE) with periodic boundary conditions. Then we develop a novel multi-symplectic Fourier pseudospect...
Project supported by the National Natural Science Foundation of China (Grant No.11101191)
The nonlinear Schr6dinger equation with Kerr law nonlinearity in the two-frequency interference is studied by the numerical method. Chaos occurs easily due to the absence of damping. This phenomenon will cause the dis...
Project supported by the National Natural Science Foundation of China (Grant No. 11174214);the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20090181110080);the National Basic Research Program of China (Grant No. 2011CB808201);the Special Project for Research Conditions of High-level Talents of Guizhou Province, China (Grant No. TZJF-2008-42);the Science Foundation of Education Bureau of Guizhou Province, China (Grant No. 2010053)
The structures and the phase transitions of ScH3 under high pressure are investigated using first-principles calcula- tions. The calculated structural parameters at zero pressure agree well with the available experime...
Project supported by the National Natural Science Foundation of China (Grant No 11171038).
In this work, we present the direct discontinuous Galerkin (DDG) method for the one-dimensional coupled nonlinear Schr5dinger (CNLS) equation. We prove that the new discontinuous Galerkin method preserves the disc...