The Liouville correspondence between the Korteweg—de Vries and the Camassa‐Holm hierarchies

By H. McKean. 2003

69 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f60f32d3e40d51cf965e858dcc7738e5d9c99ff5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jonatan Lenells
2. Hongbo Li
3. Deng‐Shan Wang

In Geometry and Topology

1. Jonatan Lenells
2. Adrian Constantin
3. Yue Liu
4. P. Topalov
5. Thomas Kappeler
6. Deng‐Shan Wang
7. Hongbo Li
8. Zhaoyang Yin

In Statistical and Nonlinear Physics

1. Jonatan Lenells
2. Yue Liu
3. Thomas Kappeler
4. P. Topalov
5. Adrian Constantin
6. Zhaoyang Yin
7. Deng‐Shan Wang
8. Hongbo Li

Citations in the corpus

• Single and multi-solitary wave solutions to a class of nonlinear evolution equations (2008, background): “Recently, McKean [13] established the Liouville correspondence between the KdV and the Camassa–Holm hierarchies.”
• Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers (2008, background): “Moreover, it is known that the Camassa-Holm equation is related by a (nonlocal) change of variables to the first negative member of the KdV hierarchy [13].”
• On geodesic exponential maps of the Virasoro group (2007, background): “In fact, there is a correspondence between the so called KdV hierarchy and the one of (CH)—see [26, 27].”