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Research Paper | Mathematics | India | Volume 5 Issue 4, April 2016

Painleve Analysis, Backlund and Cole-Hopf Transformations of the (2+1) and (3+1)-dimensional Burgers Equations

T. Shanmuga Priya ^[3] | B. Mayil Vaganan

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

Keywords: Integrability, Painlev property, Bcklund transformation, Cole-Hopf transformation, Burgers equation

Edition: Volume 5 Issue 4, April 2016,

Pages: 244 - 246