Volume 7, Issue 3
Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term

Jialin Hong and Linghua Kong

10.4208/cicp.2009.09.057

Commun. Comput. Phys., 7 (2010), pp. 613-630.

Preview Full PDF BiBTex 96 398
  • Abstract

The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplectic Fourier spectral (MSFS) methods will be employed to solve the fourth-order Schr ¨odinger equations with trapped term. Using the idea of split-step numerical method and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-step multi-symplectic (SSMS) methods. The numerical experiments show that the proposed SSMS methods are more efficient than the conventional multi-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties.

  • History

Published online: 2010-07

  • Keywords

  • AMS Subject Headings

  • Cited by