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arXiv · 1403.1012

The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data

Russell Johnson·Luca Zampogni
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Abstract

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].

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Russell Johnson, Luca Zampogni. 2014-03-05. The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data. https://doi.org/10.3842/sigma.2014.020

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