Symmetry reductions of the Lax pair for the 2 + 1-dimensional Konopelchenko–Dubrovsky equation
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摘要
Based on the symbolic computational system – Maple, the similarity reduction arising from the classical Lie point symmetries of the Lax pair for the 2 + 1-dimensional Konopelchenko–Dubrovsky (KD) equation, is carried out. We obtain several interesting reductions. By analyzing not only the reduced Lax pair but also the KD equation reduced under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced KD equation.
论文关键词：Classical Lie group approach,Symmetry reduction,Lax pair,Konopelchenko–Dubrovsky equation
论文评审过程：Received 27 July 2008, Revised 6 January 2009, Accepted 12 January 2009, Available online 18 January 2009.
论文官网地址：https://doi.org/10.1016/j.amc.2009.01.016
