Geometric Integrability of the Camassa–Holm Equation

By Enrique G. Reyes. 2002

145 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/75ab44e5ec35d7b2c935b8598f5d9c98cfcaf19b

How researchers see this paper

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

In Geometry and Topology

1. Jonatan Lenells
2. Adrian Constantin
3. Shou‐Fu Tian
4. G. Misiołek
5. Wenxiu Ma
6. Alberto Bressan
7. Xianguo Geng
8. David Lannes

In Statistical and Nonlinear Physics

1. Jonatan Lenells
2. Adrian Constantin
3. Shou‐Fu Tian
4. Yue Liu
5. Zhaoyang Yin
6. G. Misiołek
7. A. Alexandrou Himonas
8. Wenxiu Ma

Citations in the corpus

• Inverse scattering transform for the Camassa–Holm equation (2006, unknown): “n the case of Schwartz class functions, and over one period in the periodic case. There exists an infinite sequence of conservation laws (multi-Hamiltonian structure) H n[m], n= 0,±1,±2,..., such that [19, 40, 30, 24] −(∂−∂3) δH n[m] δm = −(2ω∂+m∂+∂m) δH n−1[m] δm . (6) The equation (1) admits a Lax ”
• Conservation laws of the Camassa–Holm equation (2005, methodology): “By a different method (showing that (1.1) describes pseudo-spherical surfaces and expanding the corresponding quadratic pseudo-potential in power series), this conjecture was proved in [21].”