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Exact and explicit solutions of Euler-Painlevé equations through generalized Cole-Hopf transformations |
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| Authors: | M. Senthilkumaran D. Pandiaraja |
| Affiliation: | a Department of Mathematics, Thiagarajar College, Madurai 625 009, India b School of Mathematics, Madurai Kamaraj University, Madurai 625 021, India |
| Abstract: | 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. |
| Keywords: | Euler-Painlevé equations Exact linearization Analytic solutions Kummer functions Asymptotic behaviour |
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