Multisymplectic Euler Box Scheme for the KdV Equation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2007,（2）
• 页码范围: 312-314
• 页数: 3页
• 语种: 英文

摘要

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.