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Bäcklund Transformations and the Painlevé property
For systems with the Painlevé Property, Bäcklund transformations can be defined. These appear as specializations (truncations) of certain expansions... -
Singularity Analysis and its Relation to Complete, Partial and Non-Integrability
The aim of this course is to present and illustrate the connection between integrability and the singularity structure of the solutions of nonlinear... -
Group Theory and exact Solutions of Partially Integrable Differential Systems
The application of Lie group theory to obtain exact analytic solutions of nonlinear differential equations is reviewed. The emphasis is on recent...