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

Jialin Hong & Linghua Kong

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

Published online: 2010-07

Preview Full PDF 102 566
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{CiCP-7-613, author = {Jialin Hong and Linghua Kong}, title = {Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term}, journal = {Communications in Computational Physics}, year = {2010}, volume = {7}, number = {3}, pages = {613--630}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.057}, url = {http://global-sci.org/intro/article_detail/cicp/7646.html} }
Copy to clipboard
The citation has been copied to your clipboard