Open Access Open Access  Restricted Access Subscription or Fee Access

Painlevé Analysis and Auto Bäcklund Transformation of Generalized Burgers Equation

S. Karthigai Selvam, Dr.M. Senthilkumaran

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 painlevé expansion.

Full Text:

PDF

References


J. Weiss, M, Tabor, G. Carnevale, The Painlevé property for partial differential equations J. Math. Phys. 24 (1983) 522-526.

J.Doyle, M.J. Englefield, IMAJ Appl. Math. 44(1990), 145

J.G. Kingston, C. Sophocleous, Phys. Lett. A 155 (1991). 15.

B.A. Malomed, V.I. Shrira, Physica D 53 (1991) . 1.

B. Tian, Y.T. Gao, Phys. Lett. A 209 (1995). 297

W.P. Hong, Y.D Jung, Phys. Lett. A 257 (1999). 149.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.