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Painleve Analysis and Auto Backlund Transformation of Generalized Burgers Equation


Affiliations
1 Department of Mathematics, N.M.S.S. Vellaichamy Nadar College, Madurai – 625 019, India
2 Department of Mathematics, Thiagarajar College, Madurai – 625 009, India
     

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In this paper generalised Burgers equation is investigated. The painlevé analysis leads to the explicit constraint as the variable coefficients for such a equation to pass the painlevé test. An auto Bäcklund transformation is provided by the use of truncated painleve expansion.
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  • Painleve Analysis and Auto Backlund Transformation of Generalized Burgers Equation

Abstract Views: 256  |  PDF Views: 1

Authors

S. Karthigai Selvam
Department of Mathematics, N.M.S.S. Vellaichamy Nadar College, Madurai – 625 019, India
M. Senthilkumaran
Department of Mathematics, Thiagarajar College, Madurai – 625 009, India

Abstract


In this paper generalised Burgers equation is investigated. The painlevé analysis leads to the explicit constraint as the variable coefficients for such a equation to pass the painlevé test. An auto Bäcklund transformation is provided by the use of truncated painleve expansion.