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”.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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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)
- Creator
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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
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:45 AM CEST
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Associated
- Johnson, Russell
- Zampogni, Luca
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Determinanten von Sturm-Liouville Operatoren
Systems of generalized Sturm-Liouville and Langevin fractional differential equations
Hamiltonian Systems and Sturm–Liouville Equations: Darboux Transformation and Applications
Recent developments in Sturm-Liouville theory
Perturbations of periodic Sturm-Liouville operators
On the Neumann eigenvalues for second-order Sturm–Liouville difference equations
Indefinite Sturm-Liouville operators in polar form
Spectral and oscillation theory for general second order Sturm-Liouville difference equations
Theory of a higher order Sturm-Liouville equation
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Properties of Solutions of Generalized Sturm–Liouville Discrete Equations
Sturm-Liouville operators and applications
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Systems of generalized Sturm-Liouville and Langevin fractional differential equations
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Recent developments in Sturm-Liouville theory
Perturbations of periodic Sturm-Liouville operators
On the Neumann eigenvalues for second-order Sturm–Liouville difference equations
Indefinite Sturm-Liouville operators in polar form
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