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Painleve Analysis, Backlund and Cole-Hopf Transformations of the (2+1) and (3+1)-dimensional Burgers Equations
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 4)Publication Date: 2016-04-05
Authors : T. Shanmuga Priya; B. Mayil Vaganan;
Page : 244-246
Keywords : Integrability; Painlev property; Bcklund transformation; Cole-Hopf transformation; Burgers equation;
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Abstract
We apply the Painleve analysis to the (2+1) and (3+1) - Dimensional Burgers Equations respectively given by ut + ( 2 F (y, t)) uux = (uxx + uyy) and ut + ( 2 F (y, z, t)) uux = (uxx + uyy + uzz) to determine the Backlund transformations and further deduce their respective Cole - Hopf transformations
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