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引用
期刊论文
Integrable motions of space curves in affine geometry
Chaos, Solitons and Fractals 14(2002)29-44,-0001,():
It is shown that many well-known integrable equations such as the KdV, Harry Dym, Sawada-Kotera hierarchies and the Kaup-Kupershmidt, Boussinesq, Tzitz eica, Hirota-Satsuma equations naturally arise from motions of space curves in affine and centro-affine geometries. The motions of curves corresponding to travelling waves of the KdV and Sawada-Kotera equations are constructed explicitly.
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