| Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients |
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| 作者姓名： | Arzu Ogun Cevat Kart |
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| 作者单位： | Department of Mathematics，Faculty of Sciences，Ankara University，06100 Tando■an-Ankara Turkey |
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| 摘 要： | In this work,we consider a Fisher and generalized Fisher equations with variable coefficients.Usingtruncated Painlevé expansions of these equations,we obtain exact solutions of these equations with a constrainton the coefficients a(t)and b(t).
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| 关 键 词： | Nonlinear evolution equations fisher equation generalized fisher equation b■cklund transformation painlevé property |
| 收稿时间： | 24 August 2006 |
| 修稿时间： | 2006-08-24 |
Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients |
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| Arzu Ogun Cevat Kart.Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients[J].Acta Mathematicae Applicatae Sinica,2007,23(4):563-568. |
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| Authors: | Arzu Ö?ün Cevat Kart |
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| Institution: | (1) Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandoğan-Ankara, Turkey |
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| Abstract: | Abstract
In this work, we consider a Fisher and generalized Fisher equations with variable coefficients. Using truncated Painlevé expansions
of these equations, we obtain exact solutions of these equations with a constraint on the coefficients a(t) and b(t). |
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| Keywords: | Nonlinear evolution equations fisher equation generalized fisher equation backlund transformation painleve property |
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