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Zbl 1001.76079
Chertock, Alina; Levy, Doron
A particle method for the KdV equation. (English)
[J] J. Sci. Comput. 17, No.1-4, 491-499 (2002). ISSN 0885-7474; ISSN 1573-7691/e

Summary: We describe a dispersion-velocity particle method for advection models in which the velocity does not depend linearly on the solution or its derivatives. An example is Korteweg-de Vries (KdV) equation for which we demonstrate numerically how the method captures soliton-soliton interactions.
MSC 2000:
*76M28 Particle methods and lattice-gas methods
76B25 Solitary waves, etc. (inviscid fluids)

Keywords: advection models; dispersion-velocity particle method; Korteweg-de Vries equation; soliton-soliton interactions

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