Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Ita

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Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities ¨¤ la Painlev¨¦, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The ma  

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