On the Bäcklund transformation for the Gel'fand-Dickey equations

Mark Adler

Type: Article

Publication Date: 1981-08-01

Citations: 39

DOI: https://doi.org/10.1007/bf01941660

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Communications in Mathematical Physics - View
Project Euclid (Cornell University) - View - PDF

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Works That Cite This (31)

Action	Title	Year	Authors
+ PDF Chat	Bäcklund transformations as exact integrable time discretizations for the trigonometric Gaudin model	2010	O. Ragnisco Federico Zullo
+	Bstackrel{a}cklund Transformation of the Noncommutative Gelfand-Dickey Hierarchy	2004	Yi Cheng He Jingsong Zhengzhong
+	Toda-Darboux maps and vertex operators	1997	Mark Adler Pierre van Moerbeke
+ PDF Chat	Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows	1991	Percy Deift Luen-Chau Li
+	A note on the generalized symmetries of lattice hierarchies	2009	Pilar R. Gordoa Andrew Pickering Zuo-Nong Zhu
+ PDF Chat	The recursion operator for a constrained CKP hierarchy	2011	Chuanzhong Li Kelei Tian He Jingsong Cheng Yi
+	A formula relating infinitesimal Backlund transformations to hierarchy generating operators	1983	Bingzhe Hou Tu Gui-Zhang
+	Factorization fo random Jacobi operators and Bäcklund transformations	1993	Oliver Knill
+	Higher-order nonlinear special functions: Painlevé hierarchies, a survey	2024	Pilar R. Gordoa Andrew Pickering
+	None	1999	L. A. Dickey

Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	The spectrum of difference operators and algebraic curves	1979	Pierre van Moerbeke David Mumford
+ PDF Chat	On Some Periodic Toda Lattices	1975	Mark Kac Pierre van Moerbeke
+ PDF Chat	Modifying Lax equations and the second Hamiltonian structure	1980	Boris A. Kupershmidt George Wilson
+	On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-devries type equations	1978	Mark Adler
+	Linearization of Hamiltonian systems, Jacobi varieties and representation theory	1980	Mark Adler Pierre van Moerbeke
+	An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation	1982	Fritz Ehlers Horst Knörrer
+	Parabolic maximal functions associated with a distribution, II	1977	A. P. Calderón Alberto Torchinsky