An explicit scheme for the KdV equation

作者:Wang Hui Ping; Wang Yu Shun*; Hu Ying Ying
来源:Chinese Physics Letters, 2008, 25(7): 2335-2338.

摘要

A new explicit scheme for the Korteweg-de Vries (KdV) equation is proposed. The scheme is more stable than the Zabusky-Kruskal scheme and the multi-symplectic six-point scheme. When used to simulate the collisions of multi-soliton, it does not show the nonlinear instabilities and un-physical oscillations.