Porsezian, K. (1997) Painlevé analysis and integrability aspects of some nonlinear partial differential equations Pramana - Journal of Physics, 48 (1). pp. 143-161. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/j_archive/pramana/48/1-2/143-...
Abstract
A brief review of the Painlevé singularity structure analysis of some autonomous and nonautonomous nonlinear partial differential equations is discussed. We point out how the Painlevé analysis of solutions of these equations systematically provides the integrability properties of the equation. The Lax pair, Bäcklund transformation and bilinear forms are constructed from the analysis.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Painlevé Analysis; Integrability; Solitons; Lax Pair |
ID Code: | 83907 |
Deposited On: | 23 Feb 2012 12:28 |
Last Modified: | 19 May 2016 00:34 |
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