Prolongation structures, backlund transformations and painleve analysis of nonlinear evolution equations

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2004

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Yurduşen, İsmet

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The Wahlquist-Estabrook prolongation technique and the Painleve analysis, used for testing the integrability of nonlinear evolution equations, are considered and applied both to the Drinfel'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Backlund transformations for the Drinfel'd-Sokolov system of equations are also found.

Subject Keywords

Physics.

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http://etd.lib.metu.edu.tr/upload/12605633/index.pdf
https://hdl.handle.net/11511/15001

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

İ. Yurduşen, “Prolongation structures, backlund transformations and painleve analysis of nonlinear evolution equations,” Ph.D. - Doctoral Program, Middle East Technical University, 2004.