The painleve property
Webb1 jan. 1986 · Abstract. Aspects of the Painlevé property are reviewed. Special attention is paid to the connection with Hirota's method, the formulation of a Painlevé type property … Webb4 juni 1998 · This indicates that the Painlevé property may provide a unified description of integrable behavior in dynamical systems (ordinary and partial differential equations), …
The painleve property
Did you know?
Webb24 mars 2024 · Painlevé found 50 types whose only movable singularities are ordinary poles. This characteristic is known as the Painlevé property. Six of the transcendents … Webb29 sep. 1999 · The Painlevé Property: One Century Later (CRM Series in Mathematical Physics) 1999th Edition by Robert Conte (Editor) 2 ratings See all formats and editions …
WebbThe main idea in our method is to perform a truncated Painleve´ expansion in the Lax pair that involves both the field m and the eigenfunctions ψand ϕ. As it is well known the Painleve´ property of a PDE requires that all its solutions can be expanded in generalized Laurent series around WebbOne will retain that the Painlevé property is a more demanding property than the mere integrability. The PP for PDEs is invariant under the natural extension of the homo- graphic group (5), and classifications similar to those of ODEs have also been performed for PDEs, in particular second order first degree PDEs [33, 34], isolating only the already known …
Webb1 mars 1983 · This indicates that the Painlevé property may provide a unified description of integrable behavior in dynamical systems (ordinary and partial differential equations), … Webb11 mars 2013 · Introduction to the Painlevé property, test and analysis. Robert Conte (ENS Cachan, France), Micheline Musette (VUB Brussel, Belgium) This short survey presents …
WebbIn this paper we define the Painleve property for partial differential equations and show how it determines, in a remarkably simple manner, the integrability, the Baecklund transforms, the linearizing transforms, and the Lax pairs of three well-known partial differential equations (Burgers' equation, KdV equation, and the modified KdV equation).
Webb13 maj 2012 · The Painlevé property and Bäcklund transformation for the KdV equation with a self-consistent source are presented. By testing the equation, it is shown that the equation has the Painlevé property. In order to further prove its integrality, we give its bilinear form and construct its bilinear Bäcklund transformation by the Hirota's bilinear … dash of that white bowlsWebb4 juni 1998 · When a differential equation possesses the Painlevé property it is possible (for specific equations) to define a Bäcklund transformation (by truncating an expansion … dash of that knife setWebb6 juni 2024 · Painlevé equation. The common name for a group of six special ordinary differential equations of the type. where $ R $ is a rational function in $ w ^ \prime $ and $ w $ and an analytic function in $ z $. Any such equation having only fixed singular points (cf. Movable singular point) can be reduced to one out of 50 canonical equations. dash of tonic copywritingWebb2 feb. 2024 · In this paper, the Painlevé integrable property of the (1 + 1)-dimensional generalized Broer–Kaup (gBK) equations is first proven. Then, the Bäcklund transformations for the gBK equations are derived by using the Painlevé truncation. Based on a special case of the derived Bäcklund transformations, the gBK equations are … dash of the deadbitesize biology combined scienceWebbThe Painlevé property, perturbations and numerical methods; P. G. Drazin, R. S. Johnson; Book: Solitons; Online publication: 05 June 2012; Chapter DOI: … dash of that pizza stoneWebbFind many great new & used options and get the best deals for The Painleve Property: One Century Later by Robert Conte (English) Hardcover Boo at the best online prices at eBay! … dash of that zinnia dinnerware