The Painlevé integrability of two parameterized nonlinear evolution equations using symbolic computation

Gui-qiong Xu

Chaos, Solitons & Fractals, 2007, vol. 33, issue 5, 1652-1657

Abstract: An algorithm is presented to prove the Painlevé integrability of parameterized nonlinear evolution equations such that one can filter out Painlevé integrable models from nonlinear equations with general forms. Then two well known nonlinear models with physical interests illustrate the effectiveness of this algorithm. Some new results are reported for the first time.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:5:p:1652-1657

DOI: 10.1016/j.chaos.2006.03.014

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