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

Luca Zampogni; Russell Johnson

arxiv: 1403.1012 · v1 · pith:NCEGKZINnew · submitted 2014-03-05 · 🌊 nlin.SI · math-ph· math.MP

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

Russell Johnson , Luca Zampogni This is my paper

classification 🌊 nlin.SI math-phmath.MP

keywords hierarchysolutionssturm-liouvillealgebro-geometricdataequationsevolutioninitial

0 comments

read the original 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].

This paper has not been read by Pith yet.

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

discussion (0)