International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 5 Issue 4, April 2016 | Popularity: 6.2 / 10


     

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

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



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