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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 020, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.020 (Mi sigma885) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Sturm–Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data

Russell Johnsona, Luca Zampognib

a Dipartimento di Sistemi e Informatica, Università di Firenze, Italy
b Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Italy
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DOI: https://doi.org/10.3842/SIGMA.2014.020
Abstract: The Sturm–Liouville hierarchy of evolution equations was introduced in [Adv. Nonlinear Stud. 11 (2011), 555–591] and includes the Korteweg-de Vries and the Camassa–Holm hierarchies. We discuss some solutions of this hierarchy which are obtained as limits of algebro-geometric solutions. The initial data of our solutions are (generalized) reflectionless Sturm–Liouville potentials [Stoch. Dyn. 8 (2008), 413–449].
Keywords: Sturm–Liouville problem; $m$-functions; zero-curvature equation; hierarchy of evolution equations; recursion system.
Received: October 17, 2013; in final form February 27, 2014; Published online March 5, 2014
Bibliographic databases:
Document Type: Article
MSC: 37B55; 35Q53; 34A55; 34B24
Language: English
Citation: Russell Johnson, Luca Zampogni, “The Sturm–Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data”, SIGMA, 10 (2014), 020, 23 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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