On the systematic approach to the classification of differential equations by group theoretical methods
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摘要
Complete symmetry groups enable one to characterise fully a given differential equation. By considering the reversal of an approach based upon complete symmetry groups we construct new classes of differential equations which have the equations of Bateman, Monge–Ampère and Born–Infeld as special cases. We develop a symbolic algorithm to decrease the complexity of the calculations involved.
论文关键词：Complete symmetry groups,Lie remarkability,Monge–Ampère,Bateman and Born–Infeld equations
论文评审过程：Received 18 August 2008, Revised 3 November 2008, Available online 17 November 2008.
论文官网地址：https://doi.org/10.1016/j.cam.2008.11.002
