Exact and explicit solutions of Euler–Painlevé equations through generalized Cole–Hopf transformations
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摘要
More general Euler–Painlevé equations are exactly linearized using generalized Cole–Hopf transform and are shown to admit exact solutions in terms of Kummer functions. The asymptotic behaviours of Euler–Painlevé equations are also derived.
论文关键词：Euler–Painlevé equations,Exact linearization,Analytic solutions,Kummer functions,Asymptotic behaviour
论文评审过程：Available online 17 September 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.09.007
