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An Explicit Scheme for the KdV Equation |
| WANG Hui-Ping, WANG Yu-Shun, HU Ying-Ying |
| School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097 |
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| Cite this article: |
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WANG Hui-Ping, WANG Yu-Shun, HU Ying-Ying 2008 Chin. Phys. Lett. 25 2335-2338 |
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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.
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| Keywords:
02.60.Cb
02.70.Bf
45.10.Na
45.20.Dh
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Received: 19 November 2007
Published: 26 June 2008
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| PACS: |
02.60.Cb
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(Numerical simulation; solution of equations)
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02.70.Bf
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(Finite-difference methods)
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45.10.Na
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(Geometrical and tensorial methods)
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45.20.dh
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(Energy conservation)
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