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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146834 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639102517575680 |
|---|---|
| author | Johnson, R. Zampogni, L. |
| author_facet | Johnson, R. Zampogni, L. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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].
|
| first_indexed | 2025-12-01T00:29:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146834 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T00:29:22Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data Johnson, R. Zampogni, L. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146834 |
| work_keys_str_mv | AT johnsonr thesturmliouvillehierarchyofevolutionequationsandlimitsofalgebrogeometricinitialdata AT zampognil thesturmliouvillehierarchyofevolutionequationsandlimitsofalgebrogeometricinitialdata AT johnsonr sturmliouvillehierarchyofevolutionequationsandlimitsofalgebrogeometricinitialdata AT zampognil sturmliouvillehierarchyofevolutionequationsandlimitsofalgebrogeometricinitialdata |