Painleve property
WebJun 1, 2014 · Burgers equation is the simplest one in soliton theory, which has been widely applied in almost all the physical branches. In this paper, we discuss the Painlevé … WebJun 6, 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 $ …
Painleve property
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Webabstract = "In this paper we define the Painlev{\'e} property for partial differential equations and show how it determines, in a remarkably simple manner, the integrability, the … WebSep 1, 2010 · For simplicity, we only discuss the Painlevé property in Case 1, the process of which can be extended to the others similarly. For the purpose of getting the resonances, …
WebMay 20, 2008 · The Painlevé property, that is absence of movable branch points, has been since used with great success in the detection of integrability [5–8]. We must stress one … WebFeb 22, 2024 · Title: Lectures on Painleve property for semi-simple Frobenius manifolds. Authors: Todor Milanov. Download PDF Abstract: These notes are based on a sequence …
WebChapter 10. Applications of Painlevé equations was published in Painlevé Differential Equations in the Complex Plane on page 247. 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, …
WebThe 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
WebIn 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, … rock in the bible versesWebSelect search scope, currently: catalog all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal articles & other e-resources other ways to say mustWebJun 4, 1998 · We investigate the sequence of Boussinesq equations by the method of singular manifolds. For the Boussinesq equation, which is known to possess the Painlevé property, a Bäcklund transformation is defined. This Bäcklund transformation, which is formulated in terms of the Schwarzian derivative, obtains the system of modified … other ways to say morningWebNonlinear ordinary and partial differential equations play a central role in almost all physical theories. One of the most fundamental, important and fascinating problems in the investigation of nonlinear dynamical systems is to give a general criterion which decides the integrability. The Painleve test such a criterion. This book gives a survey on the Painleve … rock in the bible meansrockin the brookWebSep 29, 1999 · The List Price is the suggested retail price of a new product as provided by a manufacturer, supplier, or seller. Except for books, Amazon will display a List Price if the … other ways to say mvpWebFeb 2, 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 … rockin the bowl