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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
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Research Paper, Mathematics, India, Volume 10 Issue 9, September 2021
Pages: 1693 - 1695On Integrability Conditions of a Framed Algebraic ?-Structure Manifold
Jai Pratap Singh [2] | Kripa Sindhu Prasad | Aparna Verma [2]
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Research Paper, Mathematics, India, Volume 9 Issue 1, January 2020
Pages: 99 - 102On Differentiability and Integrability of Rings
S. R. Gaikwad [2] | A R Gotmare