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

被引：1
|
作者：
Johnson, Russell [1 ]
Zampogni, Luca [2 ]
机构：
[1] Univ Florence, Dipartimento Sistemi & Informat, I-50121 Florence, Italy
[2] Univ Perugia, Dipartimento Matemat & Informat, I-06100 Perugia, Italy
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2014年 / 10卷
关键词：
Sturm-Liouville problem; m-functions; zero-curvature equation; hierarchy of evolution equations; recursion system; SMALL DISPERSION LIMIT; ROTATION NUMBER; OPERATORS;
D O I：
10.3842/SIGMA.2014.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：23
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