New exact explicit solutions of the generalized KdV equations
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摘要
As KdV equations are characterized by the Painlevé equations we show here that generalized KdV equations are characterized by Euler–Painlevé equations. A plethora of exact, explicit similarity solutions are found which include inverse of hypergeometric function.
论文关键词：Generalized KdV equations,Lie group method,Similarity solution,Euler–Painlevé equations
论文评审过程：Available online 18 March 2008.
论文官网地址：https://doi.org/10.1016/j.amc.2008.03.013
