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Painlevé Transcendents: Their Asymptotics and Physical Applications
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Reviews developments of the last few years and progress made since Painleve's (1863-1933) and Gambier's fundamental work, on the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the…
Symmetries And Integrability Of Difference Equations: Lecture Notes of the Abecederian School of…
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This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed,…
Symmetries and Integrability of Difference Equations
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Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations…