Painleve Analysis, Backlund and Cole-Hopf Transformations of the (2+1) and (3+1)-dimensional Burgers Equations
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
How to Cite?: T. Shanmuga Priya, B. Mayil Vaganan, "Painleve Analysis, Backlund and Cole-Hopf Transformations of the (2+1) and (3+1)-dimensional Burgers Equations", Volume 5 Issue 4, April 2016, International Journal of Science and Research (IJSR), Pages: 244-246, https://www.ijsr.net/getabstract.php?paperid=NOV162439, DOI: https://dx.doi.org/10.21275/NOV162439