Multisymplectic Euler box scheme for the KdV equation

作者：Wang Yu Shun^*; Wang Bin; Chen Xin

来源：Chinese Physics Letters, 2007, 24(2): 312-314.

We investigate the multisymplectic Euler box scheme for the Korteweg-de Vries (KdV) equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky-Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration.

• 出版日期2007-2
• 单位南京师范大学; 中国科学院大气物理研究所