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.
Abstract：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.
WANG Hui-Ping;WANG Yu-Shun;HU Ying-Ying. An Explicit Scheme for the KdV Equation[J]. 中国物理快报, 2008, 25(7): 2335-2338.
WANG Hui-Ping, WANG Yu-Shun, HU Ying-Ying. An Explicit Scheme for the KdV Equation. Chin. Phys. Lett., 2008, 25(7): 2335-2338.
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2008, Vol. 25 
