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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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146834 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-1468342019-02-12T01:23:20Z The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data Johnson, R. Zampogni, L. 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]. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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]. |
| format |
Article |
| author |
Johnson, R. Zampogni, L. |
| spellingShingle |
Johnson, R. Zampogni, L. The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Johnson, R. Zampogni, L. |
| author_sort |
Johnson, R. |
| title |
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_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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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