Integrability of the discretization of the controlled Euler Top
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摘要
The Euler equations with two controls are discretized by using the bilinear transformation method. The discrete equations are explicit and exhibit a sufficient number of conserved quantities for integrability. The explicit solution to the discrete controlled Euler top are deduced in terms of elliptic functions.
论文关键词:Discretization,Bilinear method,Conserved quantities,Explicit solutions via elliptic functions
论文评审过程:Available online 24 December 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.12.039