The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
Exactly Solvable and Integrable Systems
2014-03-06 v1 Mathematical Physics
math.MP
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].
Keywords
Cite
@article{arxiv.1403.1012,
title = {The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data},
author = {Russell Johnson and Luca Zampogni},
journal= {arXiv preprint arXiv:1403.1012},
year = {2014}
}