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

Vernadsky National Library of Ukraine

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Title The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
 
Creator Johnson, R.
Zampogni, L.
 
Description 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].
 
Date 2019-02-11T16:44:37Z
2019-02-11T16:44:37Z
2014
 
Type Article
 
Identifier The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data / R. Johnson, L. Zampogni // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 45 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 37B55; 35Q53; 34A55; 34B24
DOI:10.3842/SIGMA.2014.020
http://dspace.nbuv.gov.ua/handle/123456789/146834
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України