Conservative method for simulation of a high-order nonlinear Schrdinger equation with a trapped term

We propose a new scheme for simulation of a high-order nonlinear Schrodinger equation with a trapped term by using the mid-point rule and Fourier pseudospectral method to approximate time and space derivatives, respectively. The method is proved to be both charge- and energy-conserved. Various numer...

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Veröffentlicht in:中国物理B:英文版 2015 (10), p.26-30
1. Verfasser: 蔡加祥 柏传志 秦志林
Format: Artikel
Sprache:eng
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Zusammenfassung:We propose a new scheme for simulation of a high-order nonlinear Schrodinger equation with a trapped term by using the mid-point rule and Fourier pseudospectral method to approximate time and space derivatives, respectively. The method is proved to be both charge- and energy-conserved. Various numerical experiments for the equation in different cases are conducted. From the numerical evidence, we see the present method provides an accurate solution and conserves the discrete charge and energy invariants to machine accuracy which are consistent with the theoretical analysis.
ISSN:1674-1056
2058-3834