The Sturm-Liouville Hierarchy of Evolution Equations II
Abstract: In a previous paper [15] we introduced the Sturm-Liouville (SL) hierarchy of evolution equations. This hierarchy includes the Korteveg-de Vries (K-dV) and the Camassa-Holm (CH) hierarchies. We also defined and discussed in detail the algebro-geometric solutions of the SL-hierarchy. In this paper, we broaden the class of algebro-geometric solutions in a substantial way. Namely, we define and discuss solutions of the SL-hierarchy lying in an isospectral class of the Sturm-Liouville problem −(pφ′)′ + qφ = λyφ, which is determined by data related to a Riemann surface of “infinite genus”.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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The Sturm-Liouville Hierarchy of Evolution Equations II ; volume:12 ; number:3 ; year:2012 ; pages:501-532 ; extent:32
Advanced nonlinear studies ; 12, Heft 3 (2012), 501-532 (gesamt 32)
- Urheber
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Johnson, Russell
Zampogni, Luca
- DOI
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10.1515/ans-2012-0305
- URN
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urn:nbn:de:101:1-2405021715287.216148492178
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:45 MESZ
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Beteiligte
- Johnson, Russell
- Zampogni, Luca
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