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Painlevé Analysis, Soliton Molecule, and Lump Solution of the …
WebDOI: 10.1016/0370-1573(89)90024-0 Corpus ID: 120694584; The Painlevé property and singularity analysis of integrable and non-integrable systems @article{Ramani1989ThePP, title={The Painlev{\'e} property and singularity analysis of integrable and non-integrable systems}, author={Alfred Ramani and Basile Grammaticos and Tassos Bountis}, … WebThe main approach used by the authors is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. michelle owens attorney nashville
Journal of Nonlinear Mathematical Physics Volume 13, Number 1 …
WebOne of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation ;; = f(y',y,x), where f is a rational function of y' and y, with coefficients that are analytic in x. WebWe use a recently developed method [1], [2] to determine approximate expression for tritronquée solution for P-1: in a domain with rigorous bounds. In particular we rigorously confirm the location of the closest sing… WebThe Painlevé Handbook [E-Book] / by Robert Conte, Micheline Musette. This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential … michelle owens md in crowley la