The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
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 d...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146834 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Johnson, R. Zampogni, L. 2019-02-11T16:44:37Z 2019-02-11T16:44:37Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146834 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]. This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data |
| spellingShingle |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data Johnson, R. Zampogni, L. |
| title_short |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data |
| title_full |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data |
| title_fullStr |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data |
| title_full_unstemmed |
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data |
| title_sort |
sturm-liouville hierarchy of evolution equations and limits of algebro-geometric initial data |
| author |
Johnson, R. Zampogni, L. |
| author_facet |
Johnson, R. Zampogni, L. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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].
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146834 |
| citation_txt |
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. |
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2025-12-01T00:29:22Z |
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2025-12-01T00:29:22Z |
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